| Index |
Publication |
Preprint |
Un-
circulated
item |
| [II-1] |
Y. Giga, The Stokes operator in $L_r$ spaces, Proceedings of conference on synthetic study for positive operators and its applications (ed. F. Niiro) 39-47, Oct. 5-7, 1980, Hiroshima University, Proc. Japan Acad., 57 (1981), 85-89. |
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| [II-2] |
Y. Giga, The nonstationary problem for two-dimensional incompressible viscous and perfect flow (Nijigen Hiasshukusei Nensei Ryuutai to Kanzen Ryuutai no Hiteijou Mondai), Proc. of conference on research for turbulent flow (ed. T. Tatsumi) 94-100 (1982), January 5 - 9, 1982, Kyoto, (in Japanese). |
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| [II-3] |
Y. Giga, The Navier-Stokes initial value problem in $L^p$ and related problems, Nonlinear Partial Differential Equations in Applied Science, Proc. of the U.S.-Japan Seminar, Tokyo, 1982, (eds. H. Fujita, P. D. Lax, G. Strang), North Holland Math. Studies 81, 1984, Lecture Notes in Num. Appl. Anal., 5 (1982), 37-54. |
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| [II-4] |
Y. Giga, Self-similar solutions for semilinear parabolic equations, Proc. of the 1984 CNLS-AMS-SIAM Summer Seminar on Nonlinear systems of PDE in applied mathematics, July 1984, Santa Fe. Lectures in Applied Math. 23 (1986), 247-251. |
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| [II-5] |
Y. Giga, On blow-up solutions for semilinear heat equations (Hansenkei Netsu Houteishiki no Kai no Bakuhatsu wo Megutte), Proc. of annual conference of Mathematical Society of Japan, Functional Analysis (1986) (in Japanese). |
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| [II-6] |
P. Aviles and Y. Giga, A mathematical problem related to the physical theory ofliquid crystal configurations, Proc. Miniconference on Geometry /Partial Differential Equations, 2, June, 1986 Canberra. Proc. Centre for Mathematical Analysis, Australian National University 12 (1987), 1-16 (ed, J. Hutchinson and L. Simon). |
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| [II-7] |
Y. Giga and R. Kohn, Removability of blowup points for semilinear heat equation, Differential Equations (eds. C. M. Dafermos et al), Marcer Dekker, Lecture notes in pure and applied mathematics 118 (1989), 257-264. (Proc. of EQUADIFF 87, Xanthi, Greece, August 1987). |
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| [II-8] |
Y. Giga, A local characterization of blowup points of semilinear heat equations, Recent Topics in Nonlinear PDE IV (eds. M. Mimura and T. Nishida), North Holland Math. Studies 160, 1989 Lecture Notes in Num. Appl. Anal., 10 (1989), 1-14. |
<preprint: HUPSM #28 (1988)> |
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| [II-9] |
Y. Giga, Pure imaginary powers of operators and $L^p$ estimates for parabolic equations (Sayouso no junkyo beki to houbutsugata houteishiki no $L^p$ hyouka), Proc. of conference on functional analysis, Hirosaki (1989) (ed. H. Sakata), 84-96 (in Japanese). |
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| [II-10] |
P. Aviles and Y. Giga, Variational integrals on mappings of bounded variation, to appear. in Recent topics in Nonlinear PDE V. (ed. K. Masuda), North Holland Math. Studies, Lecture Notes in Num. Appl. Anal. 11 (1991), 23-36. |
<preprint: HUPSM #52 (1989)> |
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| [II-11] |
Y. Giga and S. Goto, Geometric evolution of phase-boundaries, Proc. of IMA workshop (Sept. 17-21, 1990) Minneapolis (eds. M. Gurtin and G. McFadden), On the evolution of phase-boundaries, IMA volumes in mathematics and its applications, Springer, 43 (1992), 51-65. |
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| [II-12] |
Y.-G. Chen, Y. Giga and S. Goto, Analysis toward snow crystal growth, Functional Analysis and Related Topics, (ed. S. Koshi, Sapporo, September 1990), World Scientific (1991), 43-57. |
<preprint: HUPSM #109 (1991)> |
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| [II-13] |
S. Altschuler, S. Angenent and Y. Giga, Generalized motion by mean curvature for surfaces of rotation, preprint. |
<preprint: HUPSM #119 (1991)> |
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| [II-14] |
Y. Giga, Evolution equations of surfaces (Kyokumen no hatten houteishiki), Proc. of annual conference of Mathematical Society of Japan, Differential Equation (1991) (in Japanese). |
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| [II-15] |
M. Giga, Y. Giga and H. Sohr, $L^p$ estimates for the Stokes system, Functional Analysis and Related Topics, 1991 ed. H. Komatsu, Springer Lecture Notes in Math. 1540 (1993), 55-67. |
<preprint: HUPSM #131 (1991)> |
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| [II-16] |
T. Fukui and Y. Giga, Motion of a graph by nonsmooth weighted curvature, Proc. of the first World congress of nonlinear analysists 92, Walter de Gruyter Publisher, Berlin, (ed V. Lakshmikantham), vol. I (1996), 47-56. |
<preprint: HUPSM #170 (1992)> |
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| [II-17] |
Y.-G. Chen, Y. Giga, T. Hitaka and M. Honma, A stable difference scheme for computing motion of level surfaces by the mean curvature, Proc of the third GARC symposium on pure and applied mathematics, (ed. D. Kim et al) (1994), 1-19. |
<preprint: HUPSM #258 (1994)> |
<pdf> |
| [II-18] |
Y. Giga and N. Mizoguchi, Existence of periodically evolving convex curves moved by anisotropic curvature, Advances in Geometric Analysis and Continuum Mechanics, International Press (eds. P. Concus and K. Lanchester) (1995), 100-108. |
<preprint: HUPSM #232 (1994)> |
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| [II-19] |
Y. Giga, Evolving curves with boundary conditions, Proc. of ``Curvature flow and related topics" (eds. A. Damlamian, J. Spruck, A. Visintin) Levico 1994, Gakuto (1995), 99-109. |
<preprint: HUPSM #268 (1994)> |
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| [II-20] |
M.-H. Giga and Y. Giga, Geometric evolution by nonsmooth interfacial energy, Proc. of Banach Center Minisemester, ``Nonlinear Analysis and Applications" (eds. N. Kenmochi, M. Niezgódka, P. Strzelecki), Gakuto (1996), 125-140. |
<preprint: HUPSM #302 (1995)> |
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| [II-21] |
M.-H. Giga and Y. Giga, Consistency in evolutions by crystalline curvature, Proc. Free Boundary Problems '95, Theory and Applications (ed. M. Niezgódka and P. Strzelecki), Zakopane, Poland (1995), Longman, pp. 186-202. |
<preprint: HUPSM #317 (1995)> |
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| [II-22] |
M.-H. Giga and Y. Giga, A subdifferential interpretation of crystalline motion under nonuniform driving force, Proc. of the International Conference on Dynamical Systems and Differential Equations, Springfield, Missouri (1996), ``Dynamical Systems and Differential Equations (eds. W.-X. Chen and S.-C. Hu), Southwest Missouri State Univ. 1 (1998), 276-287. |
<preprint: HUPSM #344 (1996)> |
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| [II-23] |
M.-H. Giga and Y. Giga, Motion driven by nonlocal curvature in the plane, Proc. of the International Conference on Asymptotics in Nonlinear Diffusive Systems 1997, (eds. Y. Nishiura et al.), Tohoku Math. Publ. #8 (1998), 75-83. |
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| [II-24] |
M.-H. Giga and Y. Giga, Remarks on convergence of evolving graphs by nonlocal curvature, Progress in Partial Differential Equations (eds. H. Amann et al) Pont-à-Mousson 1997, 1 Longman (1998), 99-116. |
<preprint: HUPSM #388 (1997)> |
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| [II-25] |
Y. Giga and K. Ito, Loss of convexity of simple closed curves moved by surface diffusion, Topics in Nonlinear Analysis, The Herbert Amann Aniversary volume, (eds. J. Escher and G. Simonett), Progress in Nonlinear Differential Equations, Birkhäuser (1999), 305-320. |
<preprint: HUPSM #409 (1998)> |
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| [II-26] |
M.-H. Giga, Y. Giga and R. Kobayashi, Very singular diffusion equations, Proc. of the last Taniguchi Symposium, (eds. M. Maruyama and T. Sunada) Advanced Studies in Pure Math. 31 (2001), 93-125. |
<preprint: HUPSM #461 (1999)> |
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| [II-27] |
M.-H. Giga and Y. Giga, Crystalline and level set flow -- Convergence of a crystalline algorithm for a general anisotropic curvature flow in the plane, Proc. Free Boundary Problems '99, Theory and Applications (ed. N. Kenmochi), Chiba, Japan (1999), Gakuto International Series, Math. Sci. Appl. 13 (2000), 64-79. |
<preprint: HUPSM #479 (2000)> |
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| [II-28] |
J. Escher, Y. Giga and K. Ito, On a limiting motion and self-intersections of curves moved by the intermediate surface diffusion flow, Proc. of the third World Congress of Nonlinear Analysts 2000, (ed. V. Lakshmikantham), Nonlinear Anal. 47 (2001), 3717-3728. |
<preprint: HUPSM #499 (2000)> |
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| [II-29] |
Y. Giga, K. Inui, J. Kato and S. Matsui, Remarks on the uniqueness of bounded solutions of the Navier-Stokes equations, Proc. of the third World Congress of Nonlinear Analysts 2000, (ed. V. Lakshmikantham) Nonlinear Anal. 47 (2001), 4151-4156. |
<preprint: HUPSM #497 (2000)> |
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| [II-30] |
Y. Giga, Shocks and very strong vertical diffusion, Lectures on Partial Differential Equations in honor of Louis Nirenberg's, 75th birthday (2003), International Press, Mass. U.S.A, pp. 95-102. |
<preprint: HUPSM #510 (2000)> |
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| [II-31] |
Y. Giga, On the two-dimensional nonstationary vorticity equations, Proc. of the international conference on "Tosio Kato's Method and Principle for Evolution Equations in Methematical Physics", (ed. H. Fujita, S. T. Kuroda and H. Okamoto) pp. 86-97, Univ. of Tokyo Press, Tokyo (2002). |
<preprint: HUPSM #538 (2001)> |
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| [II-32] |
M.-H. Giga and Y. Giga, Minimal vertical singular diffusion preventing overturning for the Burgers equation, Recent Advances in Scientific Computing and Partial Differential Equations, Contemp. Math. 330 (2003), Amer. Math. Soc. Providence, pp. 73-88. |
<preprint: HUPSM #552 (2002)> |
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| [II-33] |
M.-H. Giga and Y. Giga, A PDE approach for motion of phase-boundaries by a singular interfacial energy, Adv. Stud. Pure Math. 39 (2004), Stochastic Analysis on Large Scale Interacting Systems (T. Funaki and H. Osada eds.), Math. Soc. Japan, pp.213-232 |
<preprint: HUPSM #584 (2003)> |
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| [II-34] |
Y.-H. R. Tsai and Y. Giga, A numerical study of anisotropic crystal growth with bunching under very singular vertical diffusion. |
<preprint: HUPSM #591 (2003)> |
<pdf> |
| [II-35] |
Y. Giga, Singular diffusivity-facets, shocks and more, ICIAM 2003, Applied Mathematics Entering the 21st Century (Eds.M.Hill and R.Moore), SIAM (2004) pp. 121-138. |
<preprint: HUPSM #604 (2003)> |
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| [II-36] |
H. Hontani, M.-H. Giga, Y. Giga and K. Deguchi, A computation of a crystalline flow starting from non-admissible polygon using expanding selfsimilar solutions, 11th International Conference DGCI 2003, LNCS 2886, Springer, Naples (2003), 465-474. |
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| [II-37] |
Y. Giga and H. Kuroda, On breakdown of solutions of a constrained gradient system of total variation, Proc. Symp. of PDEs - Foz do Iguacu, Brazil (2003), Boletim da Sociedade Paranaense de Matemática 22 (2004), 9-20. |
<preprint: HUPSM #639 (2004)> |
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| [II-38] |
Y. Giga, A. Mahalov and B. Nicolaenko, The Cauchy problem for the Navier-Stokes Equations with spatially almost periodic initial data, Mathematical Aspects of Nonlinear Dispersive Equations (eds. J. Bourgain et al), Annal of Math. Stud, 163, Princeton Press (2007), 213-222. |
<preprint: HUPSM #683 (2004)> |
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| [II-39] |
Y. Giga, H. Kuroda and N. Yamazaki, An existence result for a discretized constrained gradient system of total variation flow in color image processing, Interdisciplinary Information Sciences 11 (2005), 199-204, Tohoku University. |
<preprint: HUPSM #734 (2005)> |
<pdf> |
| [II-40] |
M.-H. Giga and Y. Giga, On singular vertical diffusion for some Hamilton-Jacobi equations, Viscosity solution theory of differential equations and its developments, RIMS Kôkyûroku (2005), Kôkyûroku 131-141. |
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| [II-41] |
Y. Giga and P. Rybka, Faceted crystal grown from solution - a Stefan type problem with a singular interfacial energy, Proceedings of the 4th JSAM-SIMAI Seminar on Industrial and Applied Mathematics, (eds. H. Fujita and M. Nakamura) Gakuto International Series, Mathematical Sciences and Applications 28, Gakkotosho, Tokyo (2008), pp. 31-41. |
<preprint: HUPSM #753 (2005)> |
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| [II-42] |
Y. Giga, H. Kuroda and N. Yamazaki, Global solvability of constrained singular diffusion equation associated with essential variation, Proc. Free boundary problem 2005, International series of Numerical Math. 154 (2007), Birkhäuser, 209-218. |
<preprint: HUPSM #778 (2006)> |
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| [II-43] |
M. Geissert and Y. Giga, On the Stokes resolvent equations in locally uniformly $L^p$ spaces in exterior domains, Functional analysis and evolution equations, 307-314, Birkhäuser, Basel (2008). |
<preprint: HUPSM #837 (2007)> |
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| [II-44] |
Y. Giga, Y. Seki and N. Umeda, Blow up at space infinity for nonlinear heat equations, Recent Advances in Nonlinear Analysis, (eds. M. Chipot et al), Proceedings of the International Conference on Nonlinear Analysis, Hsinchu, Taiwan (2006), World Scientific (2008), pp. 77-94. |
<preprint: HUPSM #856 (2007)> |
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| [II-45] |
Y. Giga, Evolution equations with almost periodic initial data, International Conference for the 25th Anniversary of Viscosity Solutions, (eds. Y. Giga, K. Ishii, S. Koike, T. Ozawa and N. Yamada), Gakuto International Series, Mathematical Scienes and Applications 30, Gakkotosho, Tokyo (2008), pp. 97-106. |
<preprint: HUPSM #874 (2007)> |
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| [II-46] |
Y. Giga, K. Inui, A. Mahalov and S. Matsui, Uniform local solvability for the Navier-Stokes equations with the Coriolis force, Kyoto Conference on the Navier-Stokes equations and their applications, RIMS Kôkyûroku Bessatsu B1 (eds. Y. Giga et al) (2007), pp. 187-198. |
<preprint: HUPSM #736 (2005)> |
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| [II-47] |
Y. Giga and Q. Liu, A remark on the discrete deterministic game approach for curvature flow equations, Proc. Interantional Conference on Nonlinear Phenomena with Energy Dissipation (eds. A. Damlamian, N. Kenmochi, M. Mimura, J. Sprekels), Gakuto International Series, Mathematical Sciences and Applications 29, Gakkotosho, Tokyo (2008), pp. 103-115. |
<preprint: HUPSM #901 (2008)> |
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| [II-48] |
Y. Giga and J. Saal, $L^1$-maximal regularity for the Laplacian and applications, Discrete and Continuous Dynamical Systems, supplement 2011 (2011), 495-504. |
<preprint: HUPSM #965 (2010)> |
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| [II-49] |
Y. Giga, A remark on a Liouville problem with boundary for the Stokes and the Navier-Stokes equations, Discrete and Continuous Dynamical Systems, Series S 6 (2013), 1277-1289. |
<preprint: HUPSM #989 (2011)> |
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| [II-50] |
Y. Giga and G. Pisante, On representation of boundary integrals involving the mean curvature for mean-convex domains, Proc. ERC Workshop on ``Geometric Partial Differential Equations" (eds. M. Novaga et al.), Centro di Ricerca Matematica Ennio De Giorgi 15 (2013), 171-187. |
<preprint: HUPSM #1031 (2013)> |
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| [II-51] |
M.-H. Giga, Y. Giga and A. Nakayasu, On general existence results for one-dimensional singular diffusion equations with spatially inhomogeneous driving force, Proc. ERC Workshop on ``Geometric Partial Differential Equations" (eds. M. Novaga et al.), Centro di Ricerca Matematica Ennio De Giorgi 15 (2013), 145-170. |
<preprint: HUPSM #1032 (2013)> |
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| [II-52] |
Y. Giga, Q. Lin and H. Mitake, Large-time asymptotics for Hamilton–Jacobi equations with noncoercive Hamiltonians appearing in crystal growth, Adv. Stud. Pure Math. 64 (2015),
Nonlinear Dynamics in Partial Differential Equations (S. Ei, S. Kawashima, M. Kimura and T. Mizumachi eds.), pp.235-242. |
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| [II-53] |
Y. Giga, On large time behavior of growth by birth and spread, Proc. Int. Cong. of Math. 2018 Rio de Janeiro 3 (2019), 2287-2310. |
<preprint: HUPSM #1107 (2018)> |
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| [II-54] |
Y. Giga, On total variation flow type equations (Zenhendo Ryu Gata Houteishiki) (in Japanese), Proc. of annual conference of the Mathematical Society of Japan (Real Analysis) (2019). |
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