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Giga, Mi-Ho

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 Author ID: giga.mi-ho Published as: Giga, M.; Giga, M. H.; Giga, M.-H.; Giga, Mi-Ho
 Documents Indexed: 26 Publications since 1995, including 1 Book
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Co-Authors

 0 single-authored 25 Giga, Yoshikazu 4 Hontani, Hidekata 3 Deguchi, Koichiro 2 Požár, Norbert 2 Rybka, Piotr 1 Kobayashi, Ryo 1 Nakayasu, Atsushi 1 Ohtsuka, Takeshi 1 Saal, Jürgen 1 Suzuki, Yu 1 Umeda, Noriaki
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Serials

 4 Archive for Rational Mechanics and Analysis 1 Discrete Applied Mathematics 1 Japan Journal of Industrial and Applied Mathematics 1 Communications in Partial Differential Equations 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 SIAM Journal on Mathematical Analysis 1 Advances in Mathematical Sciences and Applications 1 Discrete and Continuous Dynamical Systems 1 Interfaces and Free Boundaries 1 Communications on Pure and Applied Analysis 1 Progress in Nonlinear Differential Equations and Their Applications
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Fields

 21 Partial differential equations (35-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Differential geometry (53-XX) 3 Mechanics of deformable solids (74-XX) 2 Numerical analysis (65-XX) 2 Computer science (68-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Convex and discrete geometry (52-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Statistics (62-XX) 1 Information and communication theory, circuits (94-XX)

Citations contained in zbMATH

23 Publications have been cited 234 times in 139 Documents Cited by Year
Nonlinear partial differential equations. Asymptotic behavior of solutions and self-similar solutions. Zbl 1215.35001
Giga, Mi-Ho; Giga, Yoshikazu; Saal, Jürgen
2010
Evolving graphs by singular weighted curvature. Zbl 0896.35069
Giga, Mi-Ho; Giga, Yoshikazu
1998
Generalized motion by nonlocal curvature in the plane. Zbl 1004.35075
Giga, Mi-Ho; Giga, Yoshikazu
2001
Very singular diffusion equations: second and fourth order problems. Zbl 1213.35274
Giga, Mi-Ho; Giga, Yoshikazu
2010
Very singular diffusion equations. Zbl 1002.35074
Giga, Mi-Ho; Giga, Yoshikazu; Kobayashi, Ryo
2001
Crystalline and level set flow – convergence of a crystalline algorithm for a general anisotropic curvature flow in the plane. Zbl 0957.35122
Giga, Mi-Ho; Giga, Yoshikazu
2000
Stability for evolving graphs by nonlocal weighted curvature. Zbl 0924.35177
Giga, Mi-Ho; Giga, Yoshikazu
1999
Erratum to: “A comparison principle for singular diffusion equations with spatially inhomogeneous driving force for graphs”. Zbl 1290.35023
Giga, M.-H.; Giga, Y.; Rybka, P.
2014
Periodic total variation flow of non-divergence type in $$\mathbb R^n$$. Zbl 1319.35103
Giga, Mi-Ho; Giga, Yoshikazu; Požár, Norbert
2014
A subdifferential interpretation of crystalline motion under nonuniform driving force. Zbl 1304.35674
Giga, Mi-Ho; Giga, Yoshikazu
1998
Self-similar expanding solutions in a sector for a crystalline flow. Zbl 1093.74048
Giga, Mi-Ho; Giga, Yoshikazu; Hontani, Hidekata
2006
Consistency in evolutions by crystalline curvature. Zbl 0865.35146
Giga, M. H.; Giga, Y.
1996
A comparison principle for singular diffusion equations with spatially inhomogeneous driving force for graphs. Zbl 1288.35137
Giga, M.-H.; Giga, Y.; Rybka, P.
2014
A PDE approach for motion of phase-boundaries by a singular interfacial energy. Zbl 1130.35322
Giga, Mi-Ho; Giga, Yoshikazu
2004
Expanding selfsimilar solutions of a crystalline flow with applications to contour figure analysis. Zbl 1117.65036
Hontani, Hidekata; Giga, Mi-Ho; Giga, Yoshikazu; Deguchi, Koichiro
2005
Minimal vertical singular diffusion preventing overturning for the Burgers equation. Zbl 1175.35123
Giga, Mi-Ho; Giga, Yoshikazu
2003
Remarks on convergence of evolving graphs by nonlocal curvature. Zbl 0919.35071
Giga, Mi-Ho; Giga, Yoshikazu
1998
On general existence results for one-dimensional singular diffusion equations with spatially inhomogeneous driving force. Zbl 1295.35279
Giga, Mi-Ho; Giga, Yoshikazu; Nakayasu, Atsushi
2013
Anisotropic total variation flow of non-divergence type on a higher dimensional torus. Zbl 1291.35120
Giga, Mi-Ho; Giga, Yoshikazu; Požár, Norbert
2013
On the role of kinetic and interfacial anisotropy in the crystal growth theory. Zbl 1286.35142
Giga, Mi-Ho; Giga, Yoshikazu
2013
A computation of a crystalline flow starting from non-admissible polygon using expanding selfsimilar solutions. Zbl 1254.68305
Hontani, Hidekata; Giga, Mi-Ho; Giga, Yoshikazu; Deguchi, Koichiro
2003
Motion driven by nonlocal curvature in the plane. Zbl 0979.35502
Giga, Mi-Ho; Giga, Yoshikazu
1998
Geometric evolution by nonsmooth interfacial energy. Zbl 0888.35058
Giga, Mi-Ho; Giga, Yoshikazu
1995
Erratum to: “A comparison principle for singular diffusion equations with spatially inhomogeneous driving force for graphs”. Zbl 1290.35023
Giga, M.-H.; Giga, Y.; Rybka, P.
2014
Periodic total variation flow of non-divergence type in $$\mathbb R^n$$. Zbl 1319.35103
Giga, Mi-Ho; Giga, Yoshikazu; Požár, Norbert
2014
A comparison principle for singular diffusion equations with spatially inhomogeneous driving force for graphs. Zbl 1288.35137
Giga, M.-H.; Giga, Y.; Rybka, P.
2014
On general existence results for one-dimensional singular diffusion equations with spatially inhomogeneous driving force. Zbl 1295.35279
Giga, Mi-Ho; Giga, Yoshikazu; Nakayasu, Atsushi
2013
Anisotropic total variation flow of non-divergence type on a higher dimensional torus. Zbl 1291.35120
Giga, Mi-Ho; Giga, Yoshikazu; Požár, Norbert
2013
On the role of kinetic and interfacial anisotropy in the crystal growth theory. Zbl 1286.35142
Giga, Mi-Ho; Giga, Yoshikazu
2013
Nonlinear partial differential equations. Asymptotic behavior of solutions and self-similar solutions. Zbl 1215.35001
Giga, Mi-Ho; Giga, Yoshikazu; Saal, Jürgen
2010
Very singular diffusion equations: second and fourth order problems. Zbl 1213.35274
Giga, Mi-Ho; Giga, Yoshikazu
2010
Self-similar expanding solutions in a sector for a crystalline flow. Zbl 1093.74048
Giga, Mi-Ho; Giga, Yoshikazu; Hontani, Hidekata
2006
Expanding selfsimilar solutions of a crystalline flow with applications to contour figure analysis. Zbl 1117.65036
Hontani, Hidekata; Giga, Mi-Ho; Giga, Yoshikazu; Deguchi, Koichiro
2005
A PDE approach for motion of phase-boundaries by a singular interfacial energy. Zbl 1130.35322
Giga, Mi-Ho; Giga, Yoshikazu
2004
Minimal vertical singular diffusion preventing overturning for the Burgers equation. Zbl 1175.35123
Giga, Mi-Ho; Giga, Yoshikazu
2003
A computation of a crystalline flow starting from non-admissible polygon using expanding selfsimilar solutions. Zbl 1254.68305
Hontani, Hidekata; Giga, Mi-Ho; Giga, Yoshikazu; Deguchi, Koichiro
2003
Generalized motion by nonlocal curvature in the plane. Zbl 1004.35075
Giga, Mi-Ho; Giga, Yoshikazu
2001
Very singular diffusion equations. Zbl 1002.35074
Giga, Mi-Ho; Giga, Yoshikazu; Kobayashi, Ryo
2001
Crystalline and level set flow – convergence of a crystalline algorithm for a general anisotropic curvature flow in the plane. Zbl 0957.35122
Giga, Mi-Ho; Giga, Yoshikazu
2000
Stability for evolving graphs by nonlocal weighted curvature. Zbl 0924.35177
Giga, Mi-Ho; Giga, Yoshikazu
1999
Evolving graphs by singular weighted curvature. Zbl 0896.35069
Giga, Mi-Ho; Giga, Yoshikazu
1998
A subdifferential interpretation of crystalline motion under nonuniform driving force. Zbl 1304.35674
Giga, Mi-Ho; Giga, Yoshikazu
1998
Remarks on convergence of evolving graphs by nonlocal curvature. Zbl 0919.35071
Giga, Mi-Ho; Giga, Yoshikazu
1998
Motion driven by nonlocal curvature in the plane. Zbl 0979.35502
Giga, Mi-Ho; Giga, Yoshikazu
1998
Consistency in evolutions by crystalline curvature. Zbl 0865.35146
Giga, M. H.; Giga, Y.
1996
Geometric evolution by nonsmooth interfacial energy. Zbl 0888.35058
Giga, Mi-Ho; Giga, Yoshikazu
1995
all top 5

Cited by 173 Authors

 29 Giga, Yoshikazu 12 Rybka, Piotr 7 Maekawa, Yasunori 6 Yazaki, Shigetoshi 5 Chambolle, Antonin 5 Giga, Mi-Ho 5 Ishiwata, Tetsuya 5 Shirakawa, Ken 5 Takeda, Hiroshi 4 Röckner, Michael 4 Ushijima, Takeo K. 3 Gallay, Thierry 3 Liu, Qing 3 Morini, Massimiliano 3 Mucha, Piotr Bogusław 3 Ponsiglione, Marcello 3 Sato, Ryuichi 3 Wakasugi, Yuta 3 Watanabe, Hiroshi 2 Abe, Ken 2 Alfaro, Matthieu 2 Barbu, Viorel 2 Caselles Costa, Vicent 2 Chen, Xinfu 2 Colding, Tobias Holck 2 Hsu, Pen-Yuan 2 Ikehata, Ryo 2 Ishige, Kazuhiro 2 Ishimura, Naoyuki 2 Kawakami, Tatsuki 2 Minicozzi, William Philip II 2 Miura, Hideyuki 2 Moll, Salvador 2 Nagai, Toshitaka 2 Novaga, Matteo 2 Požár, Norbert 2 Xu, Xiangsheng 2 Yagisita, Hiroki 2 Yamada, Tetsuya 2 Yamazaki, Noriaki 1 Abdelsalam, U. M. 1 Abe, Kenichi 1 Alonso Rodríguez, Ana 1 Alter, François 1 Amato, Stefano 1 Baetens, Jan M. 1 Bartels, Sören 1 Bellettini, Giovanni 1 Birindelli, Isabeau 1 Bolkart, Martin 1 Bonforte, Matteo 1 Brenier, Yann 1 Bungert, Leon 1 Burger, Martin 1 Cañizo, José Alfredo 1 Carlier, Guillaume 1 Carpio, Ana 1 Chae, Dongho 1 Chen, Robin Ming 1 Chikami, Noboru 1 Cianchi, Andrea 1 Coti Zelati, Michele 1 Deckelnick, Klaus 1 Deguchi, Koichiro 1 Dolce, Michele 1 Ducrot, Arnaud 1 Duong, Manh Hong 1 Duro, Gema 1 Elliott, Charles M. 1 Fan, Jishan 1 Feng, Jin 1 Figalli, Alessio 1 Fila, Marek 1 Fouque, Jean-Pierre 1 Gallagher, Isabelle 1 Gao, Yuan 1 Górka, Przemysław 1 Gravner, Janko 1 Guo, Jong-Shenq 1 Gurtin, Morton Edward 1 Gustafson, Stephen J. 1 Hamamuki, Nao 1 Haque, Md. Rabiul 1 Harutyunyan, Davit 1 Hontani, Hidekata 1 Ikeda, Masahiro 1 Ilmanen, Thomas 1 Imai, Hitoshi 1 Inui, Takahisa 1 Ishii, Katsuyuki 1 Ito, Akio 1 Jleli, Mohamed 1 Kagei, Yoshiyuki 1 Kashima, Yohei 1 Katzourakis, Nikolaos I. 1 Kenmochi, Nobuyuki 1 Kielak, Karolina 1 Kim, Jong Uhn 1 Kleene, Stephen James 1 Koba, Hajime ...and 73 more Authors
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Cited in 63 Serials

 8 Journal of Differential Equations 8 Japan Journal of Industrial and Applied Mathematics 6 Mathematische Annalen 5 Archive for Rational Mechanics and Analysis 5 Journal of Mathematical Analysis and Applications 5 Journal of Functional Analysis 5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 5 Journal of Evolution Equations 4 Journal of Mathematical Fluid Mechanics 4 Interfaces and Free Boundaries 3 Communications in Mathematical Physics 3 Communications on Pure and Applied Mathematics 3 Transactions of the American Mathematical Society 3 SIAM Journal on Mathematical Analysis 3 Calculus of Variations and Partial Differential Equations 3 NoDEA. Nonlinear Differential Equations and Applications 3 Discrete and Continuous Dynamical Systems 3 Communications on Pure and Applied Analysis 3 Discrete and Continuous Dynamical Systems. Series S 2 Mathematics of Computation 2 Journal of Computational and Applied Mathematics 2 Kybernetika 2 Mathematische Zeitschrift 2 Proceedings of the Japan Academy. Series A 2 Physica D 2 Communications in Partial Differential Equations 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 Nonlinear Analysis. Real World Applications 1 Discrete Applied Mathematics 1 Journal of Computational Physics 1 Journal of Statistical Physics 1 Mathematical Methods in the Applied Sciences 1 Nonlinearity 1 Acta Mathematica 1 Advances in Mathematics 1 Archiv der Mathematik 1 Publications Mathématiques 1 Memoirs of the American Mathematical Society 1 Numerische Mathematik 1 Osaka Journal of Mathematics 1 Proceedings of the American Mathematical Society 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Tohoku Mathematical Journal. Second Series 1 Applied Numerical Mathematics 1 Applied Mathematics Letters 1 Journal of the American Mathematical Society 1 The Journal of Geometric Analysis 1 Applications of Mathematics 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Journal of Nonlinear Science 1 Journal of the Egyptian Mathematical Society 1 Infinite Dimensional Analysis, Quantum Probability and Related Topics 1 Annals of Mathematics. Second Series 1 Communications in Contemporary Mathematics 1 Discrete and Continuous Dynamical Systems. Series B 1 Proceedings of the Steklov Institute of Mathematics 1 Journal of Physics A: Mathematical and Theoretical 1 Analysis & PDE 1 SIAM Journal on Financial Mathematics 1 International Journal of Analysis 1 Geometric Flows 1 SN Partial Differential Equations and Applications
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Cited in 25 Fields

 116 Partial differential equations (35-XX) 26 Differential geometry (53-XX) 25 Fluid mechanics (76-XX) 18 Mechanics of deformable solids (74-XX) 13 Calculus of variations and optimal control; optimization (49-XX) 13 Numerical analysis (65-XX) 11 Statistical mechanics, structure of matter (82-XX) 10 Ordinary differential equations (34-XX) 8 Probability theory and stochastic processes (60-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Biology and other natural sciences (92-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Functional analysis (46-XX) 3 Information and communication theory, circuits (94-XX) 2 Difference and functional equations (39-XX) 2 Operator theory (47-XX) 1 Measure and integration (28-XX) 1 Special functions (33-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral equations (45-XX) 1 Convex and discrete geometry (52-XX) 1 Statistics (62-XX) 1 Mechanics of particles and systems (70-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)