Yasuhito Miyamoto's educational background and professional career
Personal data
- Name: MIYAMOTO, Yasuhito
- 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
Educational background
Memberships
Editorial Members
Other Members
Awards
Papers
[31] Y. Miyamoto, J. Sanchez, and V. Vergara,
Multiplicity of bounded solutions to the k-Hessian equation with a Matukuma-type source,
submitted.
[30] Y. Miyamoto and Y. Naito,
Singular extremal solutions for supercritical elliptic equations in a ball,
submitted.
[29] A. Kosaka and Y. Miyamoto,
The Emden-Fowler equation on a spherical cap of S^{N},
Submitted, (preprint: Osaka City University Mathematical Preprint Series 14-14.)
[28] Y. Miyamoto,
A limit equation and bifurcation diagrams for semilinear elliptic equations with general supercritical growth,
to appear in Journal of Differential Equations.
[27] Y. Miyamoto, Infinitely many nonradial singular solutions of Δu+e^{u}=0 in R^{N}-{0}, 4<=N<=10,
to appear in Proceedings of the Royal Society of Edinburgh, Section: A Mathematics.
[26] Y. Miyamoto and K. Takahashi,
Generalized Joseph-Lundgren exponent and intersection properties for supercritical quasilinear elliptic equations,
Archiv der Mathematik, 108 (2017), 71--83.
[25] Y. Miyamoto, Intersection properties of radial solutions and global bifurcation diagrams for supercritical quasilinear elliptic equations,
Nonlinear Differential Equations and Applications, NoDEA, 23 (2016), 1--24.
[24] Y. Miyamoto, Structure of the positive radial solutions for the supercritical Neumann problem ε^{2}Δu-u+u^{p}=0 in a ball,
Journal of Mathematical Sciences, the University of Tokyo (The special issue for the 20th anniversary), 22 (2015), 685--739.
[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 and Continuous Dynamical Systems - Series S, 8 (2015), 1023--1034.
[22] Y. Miyamoto, Classification of bifurcation diagrams for elliptic equations with exponential growth in a ball,
Annali di Matematica Pura ed Applicata, 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,
Mathematische Annalen, 361 (2015), 787--809.
[20] Y. Miyamoto, Structure of the positive solutions for supercritical elliptic equations in a ball,
Journal de Math\'ematiques Pures et Appliqu\'ees, 102 (2014), 672--701.
[19] Y. Miyamoto, Symmetry breaking bifurcation from solutions concentrating on the equator of S^{n},
Journal d'Analyse Mathematique, 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,
Mathematische Nachrichten, 286 (2013), 1142--1166.
[17] Y. Miyamoto, A planar convex domain with many isolated "hot spots" on the boundary,
Japan Journal of Indudstrial and Applied Mathematics, 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,
Journal of Differential Equations, 254 (2013), 342--367.
[15] Y. Miyamoto, Asymptotic transversality and symmetry breaking bifurcation from boundary concentrating solutions,
Annales de l'Institut Henri Poincar'e, Analyse 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,
Communications on Pure and Applied Analysis, 11, (2012), 115--145.
[13] Y. Miyamoto, Global branches of sign-changing solutions to a semilinear Dirichlet problem in a disk,
Advances in 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 and Continuous Dynamical System - 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,
Proceedings of the American Mathematical Society, 139 (2011), 975--984.
[10] Y. Miyamoto, Global branches from the second eigenvalue for a semilinear Neumann problem in a ball,
Journal of Differential Equations, 249 (2010), 1853--1870.
[9] Y. Miyamoto, The "hot spots" conjecture for a certain class of planar convex domains,
Journal of Mathematical Physics, 50 (2009), 103530, 7 pp.
[8] Y. Miyamoto, Non-existence of a secondary bifurcation point for a smilinear elliptic problem in the presence of symmetry,
Journal of Mathematical Analysis and Applications, 357 (2009), 89--97.
[7] Y. Miyamoto, Global branches of non-radially symmetric solutions to a semilinear Neumann problem in a disk,
Journal of Functional Analysis, 256 (2009), 747--776.
[6] Y. Miyamoto, An instability criterion for activator-inhibitor systems in a two-dimensional ball II,
Journal of Differential Equations, 239 (2007), 61--71.
[5] Y. Miyamoto, On the shape of the stable patterns for activator-inhibitor systems in two-dimensional domains,
Quarterly of Applied Mathematics, 65 (2007), 357--374.
[4] Y. Miyamoto,
An instability criterion for activator-inhibitor systems in a two-dimensional ball,
Journal of Differential Equations, 229 (2006),
494--508.
[3] Y. Miyamoto,
Upper semicontinuity of the global attractor for the Gierer-Meinhardt model,
Journal of Differential Equations, 223 (2006), 185--207.
[2] Y. Miyamoto,
Stability of a boundary spike layer for the Gierer-Meinhardt system,
European Journal of Applied Mathematics, 16 (2005), 467--491.
[1] Y. Miyamoto,
On connecting orbits of semilinear parabolic equations on S^1,
Documenta Mathematica, 9 (2004), 435--469.
Proceedings, Abstracts. etc.
[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 S^{2} and H^{2},
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
[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
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.
Materials for Presentations (in Japanese)
Research Interest (Key words)
Reaction-Diffusion systems, Activator-Inhibitor systems, Gierer-Meinhardt system,
Nonlinear semiflows,
Elliptic PDEs, The "hot spots"
Global attractors, Connecting orbits, Lyapunov functionals,
Singularly perturbation, Order preserving systems,
Current and old Members
Name | Graduation year | Now |
田邉好秀(TANABE Yoshihide) | B=14 | |
高橋和音(TAKAHASHI, Kazune) | M=15 | D |
手塚峻典(TEZUKA, Takenori) | M=16 | D |
宮原弘行(MIYAHARA, Hiroyuki) | M=16 | |
鈴木将満(SUZUKI, Masamitsu) | B=16 | M |