Yasuhito Miyamoto's educational background and professional career

Personal data

• First name: Yasuhito
• Family name: Miyamoto
• Sex: Male
• Date of birth: May 26th, 1976
• Birthplace: Niigata, JAPAN
• Mailing address: Graduate School of Mathematical Sciences, The University of Tokyo,
  3-8-1 Komaba, Meguro-ku, Tokyo 153-8914 JAPAN

Professional career

• Apr. 2022 -- present Professor at Graduate School of Mathematical Sciences, The University of Tokyo
• Apr. 2013 -- Mar. 2022 Associate Professor at Graduate School of Mathematical Sciences, The University of Tokyo
• Apr. 2012 -- Mar. 2013 Lecturer at Department of Mathematics, Keio University
  
• Nov. 2007 -- Mar. 2012 Assistant Professor at Department of Mathematics, Tokyo Institute of Technology
  
• Apr. 2007 -- Oct. 2007 JSPS Research Fellow at Research Institute for Mathematical Sciences, Kyoto University (Mentor: Prof. Hisashi Okamoto)
• Apr. 2006 -- Mar. 2007 COE Research Fellow at Research Institute for Mathematical Sciences, Kyoto University (Mentor: Prof. Hisashi Okamoto)
• Apr. 2004 -- Mar. 2006 Post Doctoral Fellow (VBL) at Research Institute for Electronic Science, Hokkaido University (Mentor: Prof. Yasumasa Nishiura)

• Apr. 2003 -- Mar. 2004 Research Assistant at Graduate School of Mathematical Sciences, The University of Tokyo
• Apr. 2001 -- Mar. 2002 Teaching Assistant at Graduate School of Mathematical Sciences, The University of Tokyo

Educational background

• Apr. 2001 -- Mar. 2004 Doctor course at Graduate School of Mathematical Sciences, The University of Tokyo (Supervisor: Prof. Hiroshi Matano)
  PhD thesis: On connecting Orbits of Semilinear Parabolic Equations on S^1 (Based on the paper here)
  
• Apr. 1999 -- Mar. 2001 Master course at Graduate School of Mathematical Sciences, The University of Tokyo
• Apr. 1995 -- Mar. 1999 Under graduate at Department of Mathematics, Faculty of Sciences, The University of Tokyo
• Apr. 1992 -- Mar. 1995 High school student at Kawagoe high school in Saitama prefecture.

Memberships

• Oct. 2004 -- present Mathematical Society of Japan (MSJ)
• Apr. 2009 -- present The Japan Society for Industrial and Applied Mathematics (JSIAM)

Editorial Members

• Apr. 2023 -- present Lithuanian Mathematical Journal
• Apr. 2009 -- Mar. 2012 Bulletin of the Japan Society for Industrial and Applied Mathematics

Other Members

• Mar. 2020 -- Feb. 2021 Regional representative of Mathematical Society of Japan
• Apr. 2017 -- Mar. 2018 Councilor of Mathematical Society of Japan
• Mar. 2014 -- Feb. 2015 Regional representative of Mathematical Society of Japan

Awards

• Sep. 7, 2010 JSIAM Best Author Prize (Japan Society for Industrial and Applied Mathematics)
• Sep. 23, 2010 MSJ Takebe Katahiro Prize (under 35) (Mathematical Society of Japan)
• Apr. 9, 2012 The Young Scientists' Prize (under 40) (The Commendation for Science and Technology by the Minister of Education, Culture, Sports, Science and Technology)

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Papers

[67] S. Katayama and Y. Miyamoto, Infinite multiplicity of positive solutions of an inhomogeneous supercritical elliptic equation on R^N, submitted. arXiv:2505.10503.
[66] Y. Miyamoto, K. Takemura and T. Wakasa, The Lame equation on a circle and applications to singular limit eigenvalue problems, submitted.
[65] S. Ei, Y. Miyamoto and T. Mori, Exact solutions describing very slow layer oscillations for a shadow reaction-diffusion system, submitted. arXiv:2503.10971.
[64] Y. Miyamoto, M. Obara and S. Yorii, Stability and bifurcation diagram for a one-dimensional shadow reaction-diffusion system of substrate depletion type, submitted.
[63] M. Fazly and Y. Miyamoto, Asymptotic Morse index formulas for radial solutions of the sine-Gordon and sinh-Poisson equations on expanding shells, submitted.
[62] M. Ghergu, N. Kavallaris and Y. Miyamoto, The Gierer-Meinhardt system in the entire space with non-local proliferation rates, submitted.
[61] M. Fazly and Y. Miyamoto, Morse index of radial solutions in the Gross-Pitaevskii system on expanding spherical shells: An Asymptotic Formula, submitted.
[60] Y. Miyamoto, T. Mori, S. Tasaki, T. Tsujikawa and S. Yotsutani, Symmetry breaking bifurcation and the stability of stationary solutions of a phase-field model, submitted.
[59] K. Hisa and Y. Miyamoto, Threshold property of a singular stationary solution for semilinear heat equations with exponential growth, submitted. arXiv:2409.16549.
[58] M. Fazly and Y. Miyamoto, Linear coupling effects in the 1D Gross-Pitaevskii system: Exact solutions and eigenvalue problems, to appear in Math. Methods Appl. Sci.
[57] Y. Miyamoto, H. Takemura and T. Wakasa, Asymptotic formulas of the eigenvalues for the linearization of the scalar field equation, Proc. Royal Soc. Edinburgh Sect. A. 155 (2025), 307--344.
[56] M. Fazly and Y. Miyamoto, Exact solutions and classification of linearized eigenvalue problems for one-dimensional Gross-Pitaevskii system, J. Math. Phys. 66 (2025), Article number 011501. (14 pages)
[55] Y. Miyamoto and K. Nakashima, Asymptotic formula for the Morse index of radial solutions on expanding annuli: Allen-Cahn equation and scalar filed equation, Calc. Var. Partial Differential Equations 64 (2025), Article number 10, 34 pages.
[54] M. Ghergu and Y. Miyamoto, The Gel'fand problem on expanding tubular domains in R^2: Existence and the Morse index of solutions, J. Geom. Anal. 35 (2025), Article number 9.
[53] Y. Miyamoto, H. Nakamura and K. Nishigaki, Exact periods and exact critical values for Hopf bifurcations from multi-peak solutions of the shadow Gierer-Meinhardt model in one spatial dimension, J. Differential Equations 413 (2024), 34--60. Proposition 3.2 of [53] is correct, but the proof includes confusing typos. A correct proof is here.
[52] Y. Miyamoto and Y. Naito, A bifurcation diagram of solutions to semilinear elliptic equations with general supercritical growth, J. Differential Equations 406 (2024), 318--337.
[51] Y. Miyamoto and M. Suzuki, Solvability of the Cauchy problem for the fractional semilinear parabolic equation in critical and doubly ciritical cases, J. Evol. Equ. 24 (2024), Article number 39.
[50] Y. Kaneko, Y. Miyamoto and T. Wakasa, Stability and bifurcation diagram for a shadow Gierer-Meinhardt system in one spatial dimension, Nonlinearity 37 (2024), No 5, 055011 (27 pages).
[49] S. Aizawa, Y. Miyamoto and T. Wakasa, Asymptotic formulas of the eigenvalues for the linearization of a one-dimensional sinh-Poisson equation, J. Elliptic Parabol. Equ. 9 (2023), 1043--1070.
[48] Y. Miyamoto, Exact Morse index of radial solutions for semilinear elliptic equations with critical exponent on annuli, Math. Z. 304 (2023), Article No. 65.
[47] M. Bouguezzi, D. Hilhorst, Y. Miyamoto and J.-F. Scheid, Convergence to a self similar solution for a one-phase Stefan problem arising in corrosion theory, European J. Appl. Math. 34 (2023), 701--737. HAL Id : hal-03090682 (The title is different.).
[46] M. Ghergu, Z. Liu, Y. Miyamoto and V. Moroz, Nonlinear inequalities with double Riesz potentials, Potential Anal. 59 (2023), 97--112. arXiv:2106.03581.
[45] M. Ghergu, Y. Miyamoto and M. Suzuki, Solvability for time-fractional semilinear parabolic equations with singular initial data, Math. Methods Appl. Sci. 46 (2023), 6686--6704. Authorea: Preprint.
[44] N. Ikoma and Y. Miyamoto, The compactness of minimizing sequences for a nonlinear schrodinger system with potentials, Commun. Contemp. Math. 25 (2023), Article No. 2150103 (44 pages). arXiv:2010.14722.
[43] Y. Miyamoto and Y. Naito, Singular solutions for semilinear elliptic equations with general supercritical growth, Ann. Mat. Pura Appl. 202 (2023), 341--366
[42] K. Ikeda, Y. Miyamoto and K. Nishigaki, Intersection properties for singular radial solutions of quasilinear elliptic equations with Hardy type potentials, Complex Var. Elliptic Equ. 67 (2022), 2795--2808.
[41] T. Giraudon and Y. Miyamoto, Fractional semilinear heat equations with singular and nondecaying initial data, Rev. Mat. Complut. 35 (2022), 415--445. arXiv:2001.07875.
[40] M. Ghergu and Y. Miyamoto, Radial single point rapture solutions for a general MEMS model, Calc. Var. Partial Differential Equations 61 (2022), Article 47, (29 pages). arXiv:2002.12711.
[39] M. Ghergu and Y. Miyamoto, Radial regular and rupture solutions for a PDE problem with gradient term and two parameters, Proc. Amer. Math. Soc. 150 (2022), 1697--1709. arXiv:2007.01406
[38] M. Ghergu, Y. Miyamoto and V. Moroz, Polyharmonic inequalities with nonlocal terms, J. Differential Equations 296 (2021), 799-821. arXiv:2101.12636.
[37] Y. Miyamoto, A doubly critical semilinear heat equation in the L^1 space, J. Evol. Equ. 21 (2021), 151--166. arXiv:1912.11204.
[36] Y. Miyamoto, T. Mori, T. Tsujikawa and S. Yotsutani, Stability for stationary solutions of a nonlocal Allen-Cahn equation, J. Differential Equations 275 (2021), 581--597.
[35] Y. Miyamoto and Y. Naito, Fundamental properties and asymptotic shapes of the singular and classical radial solutions for supercritical semilinear elliptic equations, NoDEA Nonlinear Differential Equations Appl. 27 (2020) Article 52, (25 pages).
[34] N. Ikoma and Y. Miyamoto, Stable standing waves of nonlinear schrodinger equations with potentials and general nonlinearities, Calc. Var. Partial Differential Equations 59 (2020) Article 48, 20 pages.
[33] Y. Miyamoto and M. Suzuki, Weakly coupled reaction-diffusion system with rapidly growing nonlinearities and singular initial data, Nonlinear Anal. 189 (2019), 111576.
[32] Y. Miyamoto, J. Sanchez, and V. Vergara, Multiplicity of bounded solutions to the k-Hessian equation with a Matukuma-type source, Rev. Mat. Iberoam. 35 (2019), 1559--1582. aeXiv:1807.11644.
[31] Y. Miyamoto and T. Wakasa, Exact eigenvalues and eigenfunctions for a one-dimensional Gel'fand problem, J. Math. Phys. 60 (2019), 021506, (11 pages).arXiv:1912.11254.
[30] A. Kosaka and Y. Miyamoto, The Emden-Fowler equation on a spherical cap of S^N, Nonlinear Anal. 178 (2019), 110--132.arXiv:1912.11239.
[29] Y. Miyamoto and Y. Naito, Singular extremal solutions for supercritical elliptic equations in a ball, J. Differential Equations 265 (2018), 2842--2885.
[28] Y. Miyamoto, A limit equation and bifurcation diagrams for semilinear elliptic equations with general supercritical growth, J. Differential Equations 264 (2018), 2684--2707. arXiv:1912.11231.
[27] Y. Miyamoto, Infinitely many nonradial singular solutions of Δu+e^u=0 in R^N-{0}, 4<=N<=10, Proc. Royal Soc. Edinburgh Sect. A 148 (2018), 133--147. arXiv:1501.03878.
[26] Y. Miyamoto and K. Takahashi, Generalized Joseph-Lundgren exponent and intersection properties for supercritical quasilinear elliptic equations, Arch. Math. (Basel) 108 (2017), 71--83.
[25] Y. Miyamoto, Intersection properties of radial solutions and global bifurcation diagrams for supercritical quasilinear elliptic equations, NoDEA Nonlinear Differential Equations Appl. 23 (2016), Article 16, (24 pages).
[24] Y. Miyamoto, Structure of the positive radial solutions for the supercritical Neumann problem ε²Δu-u+u^p=0 in a ball, J. Math. Sci. Univ. Tokyo 22 (2015), 685--739.arXiv:2001.01239.
[23] T. Tsujikawa, K. Kuto,Y. Miyamoto, and H. Izuhara, Stationary solutions for some shadow system of the Keller-Segel model with logistic growth, Discrete Contin. Dyn. Syst. Ser. S 8 (2015), 1023--1034.
[22] Y. Miyamoto, Classification of bifurcation diagrams for elliptic equations with exponential growth in a ball, Ann. Mat. Pura Appl. 194 (2015), 931--952.
[21] Y. Miyamoto, Nonradial maximizers for a H'enon type problem and symmetry breaking bifurcations for a Liouville-Gel'fand problem with a vanishing coefficient, Math. Ann. 361 (2015), 787--809.
[20] Y. Miyamoto, Structure of the positive solutions for supercritical elliptic equations in a ball, J. Math. Pures Appl. 102 (2014), 672--701.
[19] Y. Miyamoto, Symmetry breaking bifurcation from solutions concentrating on the equator of Sⁿ, J. Anal. Math. 121 (2013), 353--381.
[18] T. Kan and Y. Miyamoto, Analytic imperfect bifurcation theorem and the Liouville-Gel'fand equation on a perturbed annular domain, Math. Nachr. 286 (2013), 1142--1166.
[17] Y. Miyamoto, A planar convex domain with many isolated "hot spots" on the boundary, Jpn J. Ind. Appl. Math. 30 (2013), 145--164.
[16] Y. Miyamoto and K. Yagasaki, Monotonicity of the first eigenvalue and the global bifurcation diagram for the branch of interior peak solutions, J. Differential Equations 254 (2013), 342--367.
[15] Y. Miyamoto, Asymptotic transversality and symmetry breaking bifurcation from boundary concentrating solutions, Ann. Inst. H. Poincare Anal. Non Lin'eaire 29 (2012), 59--81.
[14] S.-I. Ei, K. Ikeda, and Y. Miyamoto, Dynamics of a boundary spike for the shadow Gierer-Meinhardt system, Comm. Pure Appl. Anal. 11, (2012), 115--145.
[13] Y. Miyamoto, Global branches of sign-changing solutions to a semilinear Dirichlet problem in a disk, Adv. Differential Equations 16 (2011), 747--773.
[12] Y. Miyamoto, Global bifurcation and stable two-phase separation for a phase field model in a disk, Discrete Contin. Dyna. Syst. - Series A 30 (2011), 791--806.
[11] Y. Miyamoto, Nondegeneracy of the second bifurcating branches for the Chafee-Infante problem on a planar symmetric domain, Proc. Amer. Math. Soc. 139 (2011), 975--984.
[10] Y. Miyamoto, Global branches from the second eigenvalue for a semilinear Neumann problem in a ball, J. Differential Equations 249 (2010), 1853--1870.
[9] Y. Miyamoto, The "hot spots" conjecture for a certain class of planar convex domains, J. Math. Phys. 50 (2009), 103530, (7 pages).
[8] Y. Miyamoto, Non-existence of a secondary bifurcation point for a smilinear elliptic problem in the presence of symmetry, J. Math. Anal. Appl. 357 (2009), 89--97.
[7] Y. Miyamoto, Global branches of non-radially symmetric solutions to a semilinear Neumann problem in a disk, J. Funct. Anal. 256 (2009), 747--776.
[6] Y. Miyamoto, An instability criterion for activator-inhibitor systems in a two-dimensional ball II, J. Differential Equations 239 (2007), 61--71.
[5] Y. Miyamoto, On the shape of the stable patterns for activator-inhibitor systems in two-dimensional domains, Quart. Appl. Math. 65 (2007), 357--374.
[4] Y. Miyamoto, An instability criterion for activator-inhibitor systems in a two-dimensional ball, J. Differential Equations 229 (2006), 494--508.
[3] Y. Miyamoto, Upper semicontinuity of the global attractor for the Gierer-Meinhardt model, J.Differential Equations 223 (2006), 185--207.
[2] Y. Miyamoto, Stability of a boundary spike layer for the Gierer-Meinhardt system, European J. Appl. Math. 16 (2005), 467--491.
[1] Y. Miyamoto, On connecting orbits of semilinear parabolic equations on S^1, Doc. Math. 9 (2004), 435--469.

Proceedings, Abstracts. etc.

[14] Y. Miyamoto, Singular and bounded positive radial solutions for supercritical elliptic equations in R^N, to appear in Proceedings of MSJ-KMS joint meeting. (refereed)
[13] Y. Miyamoto, Exact Morse index of radial solutions for semilinear elliptic equations with critical exponent on annuli (in Japanese), ―常微分方程式の定性的理論とその現象解析への応用, RIMS kokyuroku, 2244 (2023), 11--20.
[12] Y. Miyamoto, 優臨界楕円型方程式の球対称解の構造 (in Japanese), ―偏微分方程式の解の幾何的様相, RIMS kokyuroku, 2212 (2022), 54--68.
[11] Y. Miyamoto and Y. Naito, Structure of positive solutions for semilinear elliptic equations with supercritical growth, (Shapes and other properties of the solutions of PDEs) RIMS kokyuroku, 2006 (2016), 20--29.
[10] Y. Miyamoto, Stable patterns and Morse index one solutions, Nonlinear dynamics in partial differential equations, 165–173, Adv. Stud. Pure Math., 64, Math. Soc. Japan, Tokyo, 2015. (refereed)
[9] Y. Miyamoto (宮本安人) , TOWARD THE CLASSIFICATION OF THE STRUCTURE OF THE POSITIVE SOLUTIONS FOR SUPERCRITICAL ELLIPTIC EQUATIONS IN A BALL,
RIMS kokyuroku, 1969 (2015), 12--20.
[8] Y. Miyamoto (宮本安人) , STRUCTURE OF THE POSITIVE RADIAL SOLUTIONS FOR A SUPERCRITICAL NEUMANN PROBLEM IN A BALL,
RIMS kokyuroku, 1901 (2014), 92--98.
[7] Y. Miyamoto (宮本安人) , A PLANAR CONVEX DOMAIN CAN HAVE MANY ISOLATED "HOT SPOTS" ON THE BOUNDARY,
RIMS kokyuroku, 1891 (2014), 116--121.
[6] Y. Miyamoto (宮本安人) , ISOLATED "HOT SPOTS" ON THE BOUNDARY OF A PLANAR CONVEX DOMAIN,
RIMS kokyuroku, 1850 (2013), 58--65.
[5] Y. Miyamoto, The nonlinear "hot spots" conjecture in balls of S² and H²,
Proceedings on Sino-Japan Conference of Young Mathematicians on Emerging Topics on Differential Equations and their Applications, 108--119,
Edited by Hua Chen, Yiming Long and Yasumasa Nishiura,
Nankai Ser. Pure Appl. Math. Theoret. Phys., 10, World Sci. Publ., Hackensack, NJ, 2012. (refereed)
[4] Y. Miyamoto (宮本安人) , Global branches of solutions to a semilinear elliptic Neumann problem,
RIMS kokyuroku, 1628 (2009), 22--27.
[3] Y. Miyamoto, On stable patterns for reaction-diffusion equations and systems (survey article),
RIMS K\=oky\=uroku Bessatsu, Workshops on "Pattern Formation Problems in Dissipative Systems" and "Mathematical Modeling and Analysis for Nonlinear Phenomena" eds. M. Kuwamura, T. Ogawa and M. Nagayama, November, B3 (2007), 59--82. (refereed)
[2] Y. Miyamoto（宮本安人）, Partial differential equations and pattern formation,
Mathematical Bulletin of the Graduate School of Science Josai University（城西大学大学院理学研究科研究業績集（数学専攻））, Vol. 10 (2007), 62--69.
[1] Y. Miyamoto（宮本安人）, ２次元円盤領域上の活性因子・抑制因子系の定常解が不安定となるための一般的な判定法について (in Japanese),
Proceedings of PDEs and Phenomena in Miyazaki 2005（PPM2005報告集）, (2006), 46--53.

Other articles

[4] 宮本安人, Equadiff2017参加報告, JSIAM Online Magazine, 2017年10月24日.
[3] 宮本安人 (共著), 数学の現在 e, 第4講　微分方程式――安定パターンと非線形ホットスポット予想.

[2] Y.Miyamoto（宮本安人）, 非線形ホットスポット予想とパターン形成 (in Japanese), Bulletin of the Japan Society for Industrial and Applied Mathematics（応用数理）, Vol 19, No. 1 (2009).
[1] Y.Miyamoto（宮本安人）, 非線形現象に現れる特異性の解析2007 (in Japanese), Bulletin of the Japan Society for Industrial and Applied Mathematics（応用数理）, Vol. 18, No. 2 (2008), 85.

Talks

2024
[162] Exact Morse index of radial solutions for semilinear elliptic equations with critical exponent on annuli,
Korean-Japanese workshop on elliptic and parabolic equations, Seoul National University (Korea), Nov. 15, 2024.
[161] Structure of radial solutions for supercritical elliptic equations,
The China-Japan Conference on Nonlinear Elliptic and Parabolic Equations, Chern Institute of Mathematics, Nankai University (China), Oct. 9, 2024.
[160] Asymptotic formulas of the eigenvalues for the linearization of the scalar field equation,
Seminar for Differential Equations, Osaka Electro-Communication University, Sept. 12, 2024.
[159] Stability and bifurcation diagram for a shadow Gierer-Meinhardt system in one spatial dimension,
Mathematical Society of Japan, Osaka University, Sept. 3, 2024.
[158] Radial single point rapture solutions for a general MEMS model,
Mathematical approach to control the touch-down phenomenon occurring in MEMS devices, Meiji Institute for Advanced Study of Mathematical Sciences, Aug. 9, 2024.
[157] Asymptotic formula for the Morse index of radial solutions on expanding annuli: Allen-Cahn equation and scalar filed equation,
Colloquium, Mathematical Institute, Tohoku University, Jun. 24, 2024.
[156] Exact Morse index for semilinear elliptic equations with critical exponent on annuli,
Mathematical Society of Japan, Osaka Metropolican University, Mar. 17, 2024.
[155] Exact Morse index for semilinear elliptic equations with critical exponent on annuli,
2024 Japan-Korea Workshop on Nonlinear PDEs and Its Applications, Hiroshima University, Jan. 17, 2024.
2023
[154] Exact periods and exact critical values for Hopf bifurcations from multi-peak solutions of the shadow Gierer-Meinhardt model in one spatial dimension,
Evolution Equations and Applications, Tokyo University of Science, Dec. 26, 2023.
[153] Exact expression of eigenvalues and Lame's equation,
Phenamena and mathematics, Kitakyushu International Conference Center, Dec. 2, 2023.
[152] Exact periods and exact critical values for Hopf bifurcations from multi-peak solutions of the shadow Gierer-Meinhardt model in one spatial dimension,
Workshop for mathematics about various phenomena, Future University Hakodate, Nov. 16, 2023.
[151] Structure of radial solutions for super-critical elliptic equations,
Mathematical Society of Japan, Tohoku University, Sept. 23, 2023.
[150] Structure of radial solutions for super-critical elliptic equations,
MSJ-KMS Joint Meeting 2023, Sendai Internatinal Center, Sept. 9, 2023.
[149] (1) Exact Morse index of radial solutions for semilinear elliptic equations with critical exponent on annuli,
(2) Stability and bifurcation diagram for a shadow Gierer-Meinhardt system in one sparial dimension,
The 13th AIMS Conference, University of North Carolina Wilmington, USA, May 31, 2023.
2022
[148] Solvability for time-fractional semilinear parabolic equations with singular initial data,
Evolution Equations and Applications, Tokyo University of Science, Dec. 26, 2022.
[147] Structure of positive radial solutions for semilinear elliptic Dirichlet problems with general supercritical growth,
UFPB's Webinar on Partial Differential Equations and Geometric Analysis, Universidade Federal da Paraiba, Brazil (Online, Zoom), Nov. 29, 2022.
[146] Exact Morse index of radial solutions for semilinear elliptic equations with critical exponent on annuli,
Qualitative theory of ODEs and its application, RIMS, Kyoto Univ, Nov. 14, 2022.
[145] Exact Morse index of radial solutions for semilinear elliptic equations with critical exponent on annuli,
Mathematical Analysis seminar at Tokyo Tech., Tokyo Inst. of Tech., Oct. 21, 2022.
[144] Singular solutions for semilinear elliptic equations with general supercritical growth,
Mathematical Society of Japan, Hokkaido University, Sept. 13, 2022.
[143] Polyharmonic inequalities with nonlocal terms,
Mathematical Society of Japan, Saitama University, (Online, Zoom), Mar. 28, 2022.
[142] Singular solution and separation property for semilinear elliptic equations with general supercritical growth,
International Workshop on Nonlinear Elliptic Equations and Its Applications, (Online, Zoom), Jan. 26, 2022.
2021
[141] Stable standing waves of nonlinear Schrodinger equations with potentials and general nonlinearities,
Kagurazaka kaiseki seminar, Tokyo Univ. of Science, (Online, Zoom), Nov. 23, 2021.
[140] Stable standing waves of nonlinear Schrodinger equations with potentials and general nonlinearities,
Mathematical Society of Japan, Chiba University, (Online, Zoom), Sep. 14, 2021.
[139] Bifurcation structure of radial solutions for supercritical elliptic equation part 1, 2,
Geometric aspects of solutions to partial differential equations, RIMS, Kyoto Univ., (Online Zoom), June 28, 2021.
[138] Radial singular solutions of supercritical elliptic equations and bifurcation structures,
Applied Analysis Seminar, The Univ. of Tokyo, (Online Zoom), April 15, 2021.
[137] Existence and uniqueness of singular solutions for supercritical semilinear elliptic equations,
Mathematical Society of Japan, Keio University, (Online, Zoom), March 15, 2021.
[136] A doubly critical semilinear heat equation in the L^1 space,
Reaction diffusion equations and nonlinear dissipative equations, Miyazaki University, (Online, Zoom), February 16, 2021.
[135] A doubly critical semilinear heat equation in the L^1 space,
The 38th Kyushu Symposium of PDE, Kyushu University, (Online, Zoom), January 25, 2021.
2020
[134] (1)A doubly critical semilinear heat equation in the L^1 space,
(2)Radial single point rupture solutions for a general MEMS model,
Mathematical Society of Japan, Kumamoto University, (Online, Zoom), September 23, 2020.
[133] (Speaker: T. Mori) Parametric representation of a sheet constructed by all solutions to a nonlocal Allen-Cahn equation,
Mathematical Society of Japan, Nihon University, (Online, Zoom) March 16, 2020(Cancelled).
[132] Pattern formation and the "hot spots" conjecture,
Analysis Seminar, University College Dublin (Ireland), Feb. 18, 2020.
2019
[131] Solvability of fractional semilinear parabolic equations,
The 45th workshop on evelution equations, Japan Women's University, Dec. 25, 2019.
[130] Existence, uniqueness and convergence of the singular radial solution for supercriti- cal semilinear elliptic equations,
Kick off meeting of KIBAN (S) of Prof. Ishige, The University of Tokyo, Oct. 4, 2019.
[129] Stable standing waves of nonlinear schrodinger equations with potentials and general nonlinearities,
DE seminar at Ehime University, Ehime University, August 23, 2019.
[128] Stable standing waves of nonlinear schrodinger equations with potentials and general nonlinearities,
Applied analysis seminar in south Osaka, Osaka City University, July 20, 2019.
[127] (Speaker: M. Suzuki) Weakly coupled reaction-diffusion systems with rapidly growing nonlinearities and singular initial data,
Mathematical Society of Japan, Tokyo Institute of Technology, March 18, 2019.
[126] Weakly coupled reaction-diffusion system with rapidly growing nonlinearities and singular initial data,
Seminar, Comenius University (Slovakia), February 10, 2019.
2018
[125] Stable standing waves of nonlinear schrodinger equations with potentials and general nonlinearities,
Seminar, Universit'e de Lorraine at Nancy (France), Dec. 12, 2018.
[124] (Speaker: Y. Naito) Singular extremal solutions for supercriti- cal elliptic equations in a ball,
Mathematical Society of Japan, Okayama University, Sept. 24, 2018.
[123] Exact eigenvalues and eigenfunctinos for a one-dimensional Gelfand problem,
Journee d'Analyse Non Lineaire, Universite de Paris-Sud (France), Sept. 21, 2018.
[122] Exact eigenvalues and eigenfunctinos for a one-dimensional Gelfand problem,
DE seminar, Shibaura Institute of Technology, July 24, 2018.
[121] (1) A limit equation and bifurcation diagram for semilinear elliptic equations with general supercritical growth,
(2) Exact eigenvalues and eigenfunctinos for a one-dimensional Gelfand problem,
The 12th AIMS Conference, Natinal Taiwan University (Taiwan), July 5, 2018.
[120] Intersection number and applications for semilinear elliptic equations with general supercritical growth,
8th Euro-Japanese Workshop on Blow-up, Tohoku University, June 5, 2018.
[119] A limit equation with respect to a certain scaling transformation and its applications,
Exact eigenvalues and eigenfunctinos for a one-dimensional Gelfand problem,
Mathematical Society of Japan, The University of Tokyo, March 19, 2018.
2017
[118] A limit equation with respect to a certain scaling transformation and its applications,
The 43th workshop on evelution equations, Japan Women's University, December 26, 2017.
[117] The hot spots conjecture and around,
Succession and Innovation of Studies on ODEs in Real Domains, RIMS, Kyoto Univ. October 25, 2017.
[116] A limit equation and bifurcation diagram for semilinear elliptic equations with general supercritical growth,
GDRI conference, Taiwan Univ. (Taiwan), October 13, 2017.
[115] A limit equation and bifurcation diagram for semilinear elliptic equations with general supercritical growth,
Qualitative Theory on Nonlinear Partial Differential Equations, Okayama Univ., September 19, 2017.
[114] Nonradial singular solutions for a certain semilinear elliptic equation,
Mathematical Society of Japan, Yamagata Univ., September 11, 2017.
[113] Structure of the positive radial solutions for the supercritical Neumann problem $\varpeislon^2\Delta u-u+u^p=0$ in a ball,
Equadiff2017, Slovak University of Technology (Slovakia), July 25, 2017.
[112] A limit equation and bifurcation diagram for semilinear elliptic equations with general supercritical growth,
Seminaire Analyse Numerique et E.D.P, Paris-Sud Univ. (France), July 22, 2017.
[111] Structure of the positive radial solutions for the supercritical Neumann problem $\varpsilon^2\Delta u-u+u^p=0$ in a ball,
International Workshop on Nonlinear Analysis and Reaction-Diffusion Equations, Jiangsu Univ. (China), July 5, 2017.
[110] A limit equation and bifurcation diagram for semilinear elliptic equations with general supercritical growth,
Seminar, Shanghai Normal Univ. (China), July 1, 2017.
[109] A limit equation and bifurcation diagram for semilinear elliptic equations with general supercritical growth,
5th Italian-Japanese Workshop on Geometric Properties for Parabolic and Elliptic PDE’s, Osaka City Univ., May 15, 2017.
[108] A limit equation and bifurcation diagram for semilinear elliptic equations with general supercritical growth,
2017 International Workshop on Nonlinear PDE and Applications, KAIST(Korea), March 30, 2017.
[107] Generalized Joseph-Lundgren exponent and intersection properties for supercritical quasilinear elliptic equations,
Mathematical Society of Japan, Tokyo Metropolitan Univ., March 25, 2017.
[106] Intersection number and applications for semilinear elliptic equations with general supercritical growth,
Tokyo–Berkeley Mathematics Workshop PDEs and Mathematical Physics, University of Tokyo, Jonuary 13, 2017.
2016
[105] Generalized Joseph-Lundgren exponent and intersection properties for supercritical quasilinear elliptic equations,
42th Evolution Equations and Applications, Japan Woman's University, December 25, 2016.
[104] Intersection number and applications for semilinear elliptic equations with general supercritical growth,
14th Hamamatsu PDE workshop, Shizuoka University, December 22, 2016.
[103] Intersection number and applications for semilinear elliptic equations with general supercritical growth,
Analysis seminar, Ehime University, Decenmer 2, 2016.
[102] Intersection number and applications for semilinear elliptic equations with general supercritical growth,
Qualitative study of ODEs and around, RIMS, Kyoto University, November 17, 2016.
[101] Generalized Joseph-Lundgren exponent and intersection properties for supercritical quasilinear elliptic equations ,
DE seminar at YNU, Yokohama National University, August 25, 2016.
[100] Generalized Joseph-Lundgren exponent and intersection properties for supercritical quasilinear elliptic equations ,
Ito Workshop on Partial Differential Equations, Kyushu University, August 22, 2016.
[99] Classification of bifurcation diagrams for supercritical elliptic Dirichlet problems in a ball,
FMSP Workshop "Reaction-Diffusion equations and around", The University of Tokyo, January 21, 2016.
2015
[98] Structure of positive solutions for semilinear elliptic equations with supercritical growth,
3rd Chile-Japan Workshop on Nonlinear PDEs, Osaka University (at Siguma hall), December 11, 2015.
[97] Structure of the positive radial solutions for a supercritical Neumann problem in a ball,
Meiji Hisenkei seminar, Meiji University (at Ikuta), September 7, 2015.
[96] Classification of bifurcation diagrams for supercritical elliptic equations in a ball,
Symposium dedicated to Prof. Yoshihisa Morita on the occasion of his 60th Birthday, Hokkaido University, June 28, 2015.
[95] Nonradial maximizers for a H'enon type problem and symmetry breaking bifurcations for a Liouville-Gel'fand problem with a vanishing coefficient,
Mathematical Society of Japan, Meiji University (at Ochanomizu), March 21, 2015.
[94] Structure of the positive radial solutions for a supercritical Neumann problem in a ball,
Workshop on analysis in Kagurazaka 2015, Tokyo University of Science, January 23, 2015.
2014
[93] Intersection properties of radial solutions and global bifurcation diagrams for supercritical quasilinear elliptic equations,
Mathematical Society of Japan, Hiroshima Univ., September 26, 2014.
[92] Structure of the positive radial solutions for a supercritical Neumann problem in a ball,
Topics in Nonlinear Problem, Oita-ken Chushokigyo Kaikan, September 18, 2014.
[91] Structure of the positive radial solutions for a supercritical Neumann problem in a ball,
Saitama Suuri Kaiseki Seminar, Omiya Sonic City, June 23, 2014.
[90] A planar convex domain with many isolated hot spots on the boundary,
Colloquium, Mathematical Institute, Tohoku Univ., May 19, 2014.
[89] Structure of the positive radial solutions for a supercritical Neumann problem in a ball,
2014 International Workshop on Nonlinear PDE and Applications, Pusan Univ. (Korea), March 28, 2014.
[88] Classification of bifurcation diagrams for elliptic equations with exponential growth in a ball,
Mathematical Society of Japan, Gakushuin Univ., March 17, 2014.
2013
[87] Structure of the positive radial solutions for a supercritical Neumann problem in a ball,
Progress in Qualitative Theory of Ordinary Differential Equations, RIMS, Kyoto Univ., November 18, 2013.
[86] Structure of the positive radial solutions for a supercritical Neumann problem in a ball,
Applied Mathematical Seminar, Mathematical Institute, Tohoku Univ., November 7, 2013.
[85] Structure of the positive radial solutions for a supercritical Neumann problem in a ball,
NLPDE seminar, Dep. of Math., Kyoto Univ., November 1, 2013.
[84] Structure of the positive radial solutions for a supercritical Neumann problem in a ball,
Workshop on Nonlinear PDE -Japan-China Joint Project for Young Mathematicians, Ryukoku Univ., October 25, 2013.
[83] Structure of the positive radial solutions for a supercritical Neumann problem in a ball,
Mathematical Society of Japan, Ehime Univ., September 26, 2013.
[82] Structure of the positive radial solutions for a supercritical Neumann problem in a ball,
Suuri kagaku kenkyu-kai, Hida-Takayama Machi-no Hakubutukan (Gifu prefecture), September 16, 2013.
[81] Stable patterns and the nonlinear "hot spots" conjecture,
Applied Analysis Seminar, Dep. of Math., Waseda Univ., June 29, 2013.
[80] Stable patterns and the nonlinear "hot spots" conjecture,
Geometry seminar, Division of Mathematical Sciences, Tokyo Metropolitan Univ., June 10, 2013.
[79] Stable patterns and the nonlinear "hot spots" conjecture,
Colloquium, Graduate School of Mathematical Sciences, Univ. of Tokyo, May 31, 2013.
[78] (1)Structure of the positive solutions for supercritical elliptic equations in a ball,
(2)Symmetry breaking bifurcation from solutions concentrating on the equator of S^n,
(3)Monotonicity of the first eigenvalue and the global bifurcation diagram for the branch of interior peak solutions,
Mathmatical Society of Japan, Kyoto Univ., March 21, 2013.
[77] Structure of the positive solutions for supercritical elliptic equations in a ball,
To-ko-dai Su-rikaiseki Kenkyu-kai, Tokyo Inst. of Tech., February 4, 2013.
2012
[76] A planar convex domain with many isolated “hot spots” on the boundary,
Spectral and Scattering Theory and Related Topics, RIMS, Kyoto Univ., December 14, 2012.
[75] A planar convex domain with many isolated "hot spots" on the boundary,
Geometry of solutions of partial differential equations, RIMS, Kyoto Univ., November 8, 2012.
[74] Structure of the positive solutions for supercritical elliptic equations in a ball,
NA seminar, Keio Univ. November 2, 2012.
[73] (1)A planar convex domain with many isolated "hot spots" on the boundary,
(2)Global branches of sign-changing solutions to a semilinear Dirichlet problem in a disk,
Mathmatical Society of Japan, Kyushu Univ., September 19, 2012.
[72] Stable patterns and Morse index one solutions,
AIMS Conference, Orland, USA, July 2, 2012.
[71] Structure of the positive solutions for supercritical elliptic equations in a ball,
Regularity and Singularity for Geometric Partial Differential Equations and Conservation Laws, RIMS, Kyoto Univ., June 13, 2012.
[70] Stable patterns and Morse index one solutions,
The 3rd Keio-Yonsei Workshop, Keio University, May 24, 2012.
[69] Asymptotic transversality and symmetry breaking bifurcation from boundary concentrating solutions,
Mathmatical Society of Japan, Tokyo University of Science, March 27, 2012.
[68] A planar convex domain with many isolated "hot spots" on the boundary,
Matsuyama Analysis Seminar, Ehime University, February 3, 2012.
2011
[67] Stable patterns and solutions with Morse index one,
Emerging Topics on Differential Equations and their Applications --- Sino-Japan Conference of Young Mathematicians, Chern Institute of Mathematics, Nankai University, (in China) December 5, 2011.
[66] Stable patterns and ssolutions with Morse index one,
Modeling and Analysis in the Life Sciences, University of Tokyo, November 30, 2011.
[65] Stable patterns and solutions with Morse index one,
Kyusyu Functional Equations seminar, Kyusyu University, November 4, 2011.
[64] Stable patterns and solutions with Morse index one,
KATAROU Suurikaiseki seminar, Shibaura Institute of Technology, October 15, 2011.
[63] Global bifurcation and stable two-phase separation for a phase field model in a disk,
Mathmatical Society of Japan, Sinshu University, September 28, 2011.
[62] Stable patterns and solutions with Morse index one,
4th MSJ-SI, Nonlinear Dynamics in Partial Differential Equations, Centennial Hall, Kyushu University, September 12, 2011.
[61] Nonradial maximizers for a H'enon type problem and symmetry breaking bifurcations for a Liouville-Gel'fand equation with a vanishing coefficient,
Second Italian-Japanese Workshop GEOMETRIC PROPERTIES FOR PARABOLIC AND ELLIPTIC PDE's, Palazzone, Cortona (in Italy), June 23, 2011.
[60] Analytic imperfect bifurcation theorem and the Liouville-Gel'fand equation on a perturbed annular domain,
Simulations and analysis of nonlinear phenomena 2011, Hokkaido Univ. March 15, 2011.
2010
[59] The "hot spots" conjecture for a certain class of planar convex domains,
International Workshop on PDE Concentration and Related Topics in Nonlinear Problems, Tohoku Univ., November 22, 2010.
[58] Nondegeneracy of the second bifurcating branches for the Chafee-Infante problem on a planar symmetric domain,
Mathematical Society of Japan, Nagoya Univ., September 24, 2010.
[57] Stable patterns and solutions with Morse index one,
The 35th Sapporo Symposium on Partial Differential Equations, Hokkaido Univ., August 23, 2010.
[56] The "hot spots" conjecture for a certain class of planar convex domains,
Mathematical Society of Japan, Keio Univ., March 25, 2010.
2009
[55] Stable patterns for shadow systems and a nonlinear hot spots conjecture,
The Second Chile-Japan Workshop on Nonlinear Elliptic and Parabolic PDEs, Meiji Univ., December 3, 2009.
[54] Bifurcation of Neumann problems and around,
NSC seminar, RIES, Hokkaido Univ., November 19--20, 2009.
[53] The "hot spots" conjecture for a certain class of planar convex domains without symmetry,
Workshop on applied analysis, Iwate Univ., November 15, 2009.
[52] The existence of a standing wave for a nonlinear schrodinger equation with damping and forcing terms,
Workshop on the analysis, Hiroshima Univ., October 9, 2009.
[51] Non-existence of a secondary bifurcation point for a smilinear elliptic problem in the presence of symmetry,
Mathematical Society of Japan, Osaka Univ., September 25, 2009.
[50] Asymptotic behavior of solutions for the shadow reaction-diffusion system with the nonlinearity of the FitzHugh-Nagumo type,
Wakate seminar, National Women's Education Center, Japan, September 1, 2009.
[49] Stable patterns for shadow systems and a nonlinear “hot spots” conjecture,
1st Italian-Japanese workshop on geometric properties for parabolic and elliptic PDE's, Mathematical Institute, Tohoku Univ., June 16, 2009.
[48] Global branches of non-radially symmetric solutions to a semilinear Neumann problem in a disk,
Kyoto ekimae seminar, Campus plaza, May 22, 2009.
[47] Global branches of non-radially symmetric solutions to a semilinear Neumann problem in a disk,
Analysis seminar, Dep. of Math., Saitama Univ., May 19, 2009.
[46] Global branches of non-radially symmetric solutions to a semilinear Neumann problem in a disk,
Mathematical Society of Japan, Univ. of Tokyo, March 27, 2009.
2008
[45] Global branches of non-radially symmetric solutions to a semilinear Neumann problem in a disk,
Problems in the calculus of variations and related topics, RIMS, Kyoto Univ., June 23, 2008.
[44] Global branches of non-radially symmetric solutions to a semilinear Neumann problem in a disk,
Analysis Seminar, Department of Mathecatics, Kobe Univ., May 26, 2008.
[43] Global branches of non-radially symmetric solutions to a semilinear Neumann problem in a disk,
Applied Analysis Seminar, Graduate School of Mathematical Sciences, University of Tokyo, April 24, 2008.
[42] On shapes of the stable patterns for activator-inhibitor systems in a disk,
Mathematical Society of Japan, Kindai Univ., March 24, 2008.
[41] The "hot sopts" conjecture for certain classes of planar convex domains,
Seminar of Variational problem, Department of Mathematics and Information Sciences, Tokyo Metropolitan University, March 14, 2008.
[40] On shapes of the stable patterns for activator-inhibitor systems in a disk,
The 4th COE Conference for Young Researchers, Dep. of Math., Hokkaido Univ., February 14--15, 2008.
[39] On shapes of the stable patterns for activator-inhibitor systems in a disk,
The 8th Matsuyama Analysis Seminar, Dep. of Math., Ehime Univ., February 12--13, 2008.
[38] The "hot spots" conjecture for certain classes of planar convex domains,
Analysis seminar, Departmen of Mathematics, Tokyo Institute of Technology, February 1, 2008.
[37] On shapes of the stable patterns for activator-inhibitor systems in a disk,
Young Asian Conference on Partial Differential Equations, Department of Mathematics, Pohang University of Science and Technology (in Korea), January 28--29, 2008.
[36] On shapes of the stable patterns for activator-inhibitor systems in a disk,
PDE WorkShop, Taida Institute of Mathematical Sciences(TIMS), National Taiwan University (in Taiwan), January 16, 2008.
2007
[35] The "hot sopts" conjecture for certain classes of planar convex domains,
Mathematical Institute, Tohoku Univ., December 21, 2007.
[34] On shapes of the stable patterns for activator-inhibitor systems in a disk,
Applied mathematics research meeting (Ouyousuugaku goudou kennkyuusyuukai in Japanese), Ryukoku Univ., December 17, 2007.
[33] PDEs and pattern formation,
Dep. of Math. Josai Univ., December 4, 2007.
[32] Boundary spikes for reaction-diffusion systems I: Stationary solutions and their stability,
Singularities arising in Nonlinear Problems 2007, Kansai Seminar House, November 26, 2007.
[31] On shapes of the stable patterns for activator-inhibitor systems in a disk,
Dynamics and PDEs, Dep. of Math. Hiroshima Univ., November 9, 2007.
[30] On the nonlinear "hot spots" conjecture in a disk,
Mathematical Society of Japan, Tohoku Univ., September 24, 2007.
[29] The "hot spots" conjecture for cetain classes of planar convex domains,
Tea time seminar, Kyoto Univ., July 5, 2007.
[28] On shapes of the stable patterns for reaction-diffusion system and related eigenvalue problems,
NLPDE Seminar, Dep. of Math. Kyoto Univ., June 15, 2007.
[27] On shapes of the stable patterns for reaction-diffusion system and related eigenvalue problems,
Colloquium, Dep. of Math. Okamaya Univ., June 1, 2007.
[26] On shapes of the stable patterns for activator-inhibitor systems in planar domains,
Mathematical Society of Japan, Saitama Univ., March 29, 2007.
[25] On shapes of the stable patterns for activator-inhibitor systems in a disk,
Ryukoku Suurikagaku seminar, Ryukoku University, March 12, 2007.
[24] On shapes of the stable patterns for activator-inhibitor systems in planar domains,
Kyoto Univ. - Seoul National Univ. Exchange Program for Young Mathematicians , Seoul National University(in Korea) , February 13, 2007.
[23] On the shape of the stable steady states to activator-inhibitor systems in a disk,
Workshop on Nonlinear Parabolic PDEs, Tohoku Univ., February 2, 2007.
[22] Stable patterns for reaction-diffusion systems and eigenvalue problems,
The 24th Kyushu Symposium of PDE, Kyushu Univ., January 30, 2007.
[21] Stable patterns for reaction-diffusion systems and eigenvalue problems,
Colloquium, Dep. of Math, Osaka Univ., January 22, 2007.
2006
[20] On the shape of the stable patterns for activator-inhibitor systems,
Autumn school on applied analysis, KUSATSU seminar house, October 22, 2006.
[19] Stable patterns for reaction-diffusion systems and eigenvalue problems,
Pattern formation problems in dissipative systems, RIMS, Kyoto Univ., October 17, 2006.
[18] Patterns for reaction-diffusion systems and eigenvalue problems,
Current state and development of nonlinear science, NSC, RIES, Hokkaido Univ., October 13, 2006.
[17] An instability criterion for activator-inhibitor systems in a two-dimensional ball,
Mathematical Society of Japan, Osaka City Univ., September 22, 2006.
[16] Patterns for reaction-diffusion systems and eigenvalue problems,
Colloquium, RIMS, Kyoto Univ., June 7, 2006.
[15] Stability of a boundary spike layer for the Gierer-Meinhardt system,
Mathematical Society of Japan, Chuo Univ., March 29, 2006.
[14] An instability criterion for activator inhibitor systems in a two-dimensional ball,
The 7th Northeastern Symposium on Mathematical Analysis, Hokkaido Univ., February 20, 2006.
2005
[13] A general instability criterion for activator inhibitor systems in a two-dimensional ball,
Applied mathematics research meeting (Ouyousuugaku goudou kennkyuusyuukai in Japanese), Ryukoku Univ., December 22, 2005.
[12] A general instability criterion for activator inhibitor systems in a two-dimensional ball,
PDEs and Phenomena in Miyazaki 2005, Univ. of Miyazaki, November 19, 2005.
[11] A general instability criterion for activator inhibitor systems in a two-dimensional ball,
PDE seminar, Dep. of Math., Hokkaido Univ., October 30, 2005.
[10] A general instability criterion for activator inhibitor systems in a two-dimensional ball,
Autumn school on applied analysis, KUSATSU seminar house, October 14, 2005.
[9] Upper semicontinuity of the global attractor for the Gierer-Meinhardt model,
Mathematical Society of Japan, Okayama Univ., September 22, 2005.
[8] A general instability criterion for activator inhibitor systems in a two-dimensional ball,
NSC, RIES, Hokkaido Univ., September 16, 2005.
[7] On connecting orbits of semilinear parabolic equations on S^1,
NSC, RIES, Hokkaido Univ., May 20, 2005.
[6] On connecting orbits of semilinear parabolic equations on S^1,
Mathematical Society of Japan, Nihon Univ., March 29, 2005.
2004
[5] On connecting orbits of semilinear parabolic equations on S^1,
HMA seminar, Dep. of Math., Hiroshima Univ., December 2, 2004.
[4] On connecting orbits of semilinear parabolic equations on S^1,
PDE seminar, Dep. pf Math., Hokkaido Univ., October 18, 2004.
[3] The global attractor and a method of the analysis of a one-dimensional reaction-diffusion equation,
NSC, RIES, Hokkaido Univ., May 21, 2004.
2002
[2] Stability of steady states of a model of dynamics of sand which exhibits a segregation,
Mathematical analysis seminar 2002, Osaka Univ., March 7, 2002.
2001
[1] Nonlinear PDEs and a renormalization group method (- survey -) with Prof. Hiroshi Matano,
Applications of RG Methods in Mathematical Sciences RIMS, Kyoto Univ., July 26, 2001.

Current and old Members

Name	Joining	Graduation	Current	Thesis title
田邉好秀(TANABE Yoshihide)	13	B=14
高橋和音(TAKAHASHI, Kazune)	13	M=15,D=19		M: Semilinear elliptic equations with critical Sobolev exponent and non-homogeneous term D: Henon type elliptic equations with critical Sobolev growth
手塚峻典(TEZUKA, Takenori)	14	M=16		M: 時間依存する非線形項をもつ半線形熱方程式の拡散係数が小さいときの爆発集合
宮原弘行(MIYAHARA, Hiroyuki)	14	M=16		M: 非線形Schrodinger-Poisson系の定在波解の存在と非存在について
鈴木将満(SUZUKI, Masamitsu)	15	B=16,M=18,D=21		M: Initial-boundary value problem for semilinear parabolic equations with rapidly growing nonlinear terms in a bounded domain D: Local in time solvability for reaction-diffusion systems with rapidly growing nonlinear terms
森龍之介(MORI, Ryuunosuke)	17	D=18		D: Validity of formal asymptotic expansions for singularly perturbed competition-diffusion
横山慶一(YOKOYAMA, Keiichi)	17	18, Prof. Ishige
蕭　冬遠(XIAO, Dongyuan )	17	18, Prof. Ishige
達川雄貴(TATSUKAWA, Yuuki)	17	M=18		M: KPP型拡散方程式の解の広がり速度の変分的特徴づけについて
志村智之(SHIMURA, Tomoyuki)	18	M=20		M: L2束縛条件下におけるKirchhoff型方程式のglobal minimizerの存在と非存在
渡部潤(WATABE, Jun)	18	M=20		M: ある形で結合した増大の速い非線形項を持つ連立放物型偏微分方程式の時間局所解の存在と非存在
佐久間正樹(SAKUMA, Masaki)	19	B=20,M=22,D=25		M: A generalization of the concentration compactness principle and its applications to variational minimization problems with constraints involving convolutions D: Infinitely many solutions for doubly critical variable-order p(x)-Choquard-Kirchhoff type equations via the concentration compactness method
池田光一(IKEDA, Koichi) 統合自然	20	B=21		B(統合): 準線型楕円型微分方程式の解の交点数
西垣啓佑(NISHIGAKI, Keisuke) 統合自然	20	B=21,M=24		B(統合): 準線形楕円型偏微分方程式の球対称特異解の交点数について M: 1 次元 Shadow Gierer-Meinhardt 系の Hopf 分岐およびその周期と臨界値の明示的表示
竹村春希(TAKEMURA, Haruki)統合自然	21	B=22		B(統合): スカラーフィールド方程式に付随する固有値の明示的表示の研究
Liu, J	21	M=23		M: The concentration-compactness principle in W1,p and its applications
會澤修也(AIZAWA, Shuya)統合自然	22	B=23		B(統合): 一次元sinh-Possion方程式の線形化固有値問題
中村駿斗(NAKAMURA, Hayato)	23		M
上村　慧(UEMURA, Kei)統合自然	23	B=24		B(統合): 低次Lame方程式の解表示とその応用
中島優稀(NAKAJIMA Yuki)統合自然	23	B=24		B(統合): Lame方程式の解表示と Allen-Cahn方程式への応用
深堀真人(FUKAHORI Manato)	23	B=24	M
鈴木夕霧(SUZUKI Yugiri)	23	B=24	M
田中涼介(TANAKA Ryosuke)	24	B=24
石田耕作(ISHIDA Kosaku)	24
小原瑞季( OBARA Mizuki)統合自然	24	B=25		B(統合): 基質消費型の 1 次元反応拡散系のシャドー系の安定性と分岐図式
寄居真吾(YORII Shingo)統合自然	24			B(統合): 基質消費型 1 次元反応拡散方程式のシャドー系の定常解の安定性
中部結翔(NAKABE Yuito)	25		M
在田晋一(ARITA Shinichi)	25		D
加納伸一郎(KANOU Shinichiro)	25		B
中嶋祐斗(NKAJIMA Yuto)	25		B