# zbMATH — the first resource for mathematics

## Goto, Shun’ichi

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 Author ID: goto.shunichi Published as: Goto, S.; Goto, Shun’ichi
 Documents Indexed: 16 Publications since 1989
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#### Co-Authors

 4 single-authored 10 Giga, Yoshikazu 4 Chen, Yungang 2 Ishii, Hitoshi 1 Elliott, Charles M. 1 Mori, Nozomu 1 Nakagawa, Maki 1 Ohtsuka, Takeshi 1 Sato, Moto-Hiko
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#### Serials

 3 RIMS Kokyuroku 2 Indiana University Mathematics Journal 2 Proceedings of the Japan Academy. Series A 2 SIAM Journal on Mathematical Analysis 1 Hokkaido Mathematical Journal 1 Journal of Differential Geometry 1 Journal of the Mathematical Society of Japan 1 Differential and Integral Equations
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#### Fields

 13 Partial differential equations (35-XX) 5 Differential geometry (53-XX) 3 Fluid mechanics (76-XX) 1 General and overarching topics; collections (00-XX) 1 Numerical analysis (65-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Statistical mechanics, structure of matter (82-XX)

#### Citations contained in zbMATH

13 Publications have been cited 445 times in 346 Documents Cited by Year
Uniqueness and existence of viscosity solutions of generalized mean curvature flow equations. Zbl 0696.35087
Chen, Yun-Gang; Giga, Yoshikazu; Goto, Shun’ichi
1991
Comparison principle and convexity preserving properties for singular degenerate parabolic equations on unbounded domains. Zbl 0836.35009
Giga, Y.; Goto, S.; Ishii, H.; Sato, M.-H.
1991
Motion of hypersurfaces and geometric equations. Zbl 0739.53005
Giga, Yoshikazu; Goto, Shun’ichi
1992
Uniqueness and existence of viscosity solutions of generalized mean curvature flow equations. Zbl 0735.35082
Chen, Yun-Gang; Giga, Yoshikazu; Goto, Shun’ichi
1989
Global existence of weak solutions for interface equations coupled with diffusion equations. Zbl 0754.35061
Giga, Yoshikazu; Goto, Shun’ichi; Ishii, Hitoshi
1992
Generalized motion of hypersurfaces whose growth speed depends superlinearly on the curvature tensor. Zbl 0808.35007
Goto, Shun’ichi
1994
Geometric evolution of phase-boundaries. Zbl 0771.35027
Giga, Yoshikazu; Goto, Shun’ichi
1992
Dynamic boundary conditions for Hamilton–Jacobi equations. Zbl 1030.35115
Elliott, C. M.; Giga, Y.; Goto, S.
2003
Analysis toward snow crystal growth. Zbl 0817.76090
Chen, Yun-Gang; Giga, Yoshikazu; Goto, Shun’ichi
1991
Remarks on viscosity solutions for evolution equations. Zbl 0816.35063
Chen, Yun-Gang; Giga, Yoshikazu; Goto, Shun’ichi
1991
Uniqueness and existence of generalized motion for spiral crystal growth. Zbl 1161.53057
Goto, Shun’ichi; Nakagawa, Maki; Ohtsuka, Takeshi
2008
Motion of hypersurfaces and geometric equations. Zbl 0729.53010
Giga, Yoshikazu; Goto, Shun’ichi
1992
Singular limit of the incompressible ideal magneto-fluid motion with respect to the Alfvén number. Zbl 0702.76124
Goto, Shun’ichi
1990
Uniqueness and existence of generalized motion for spiral crystal growth. Zbl 1161.53057
Goto, Shun’ichi; Nakagawa, Maki; Ohtsuka, Takeshi
2008
Dynamic boundary conditions for Hamilton–Jacobi equations. Zbl 1030.35115
Elliott, C. M.; Giga, Y.; Goto, S.
2003
Generalized motion of hypersurfaces whose growth speed depends superlinearly on the curvature tensor. Zbl 0808.35007
Goto, Shun’ichi
1994
Motion of hypersurfaces and geometric equations. Zbl 0739.53005
Giga, Yoshikazu; Goto, Shun’ichi
1992
Global existence of weak solutions for interface equations coupled with diffusion equations. Zbl 0754.35061
Giga, Yoshikazu; Goto, Shun’ichi; Ishii, Hitoshi
1992
Geometric evolution of phase-boundaries. Zbl 0771.35027
Giga, Yoshikazu; Goto, Shun’ichi
1992
Motion of hypersurfaces and geometric equations. Zbl 0729.53010
Giga, Yoshikazu; Goto, Shun’ichi
1992
Uniqueness and existence of viscosity solutions of generalized mean curvature flow equations. Zbl 0696.35087
Chen, Yun-Gang; Giga, Yoshikazu; Goto, Shun’ichi
1991
Comparison principle and convexity preserving properties for singular degenerate parabolic equations on unbounded domains. Zbl 0836.35009
Giga, Y.; Goto, S.; Ishii, H.; Sato, M.-H.
1991
Analysis toward snow crystal growth. Zbl 0817.76090
Chen, Yun-Gang; Giga, Yoshikazu; Goto, Shun’ichi
1991
Remarks on viscosity solutions for evolution equations. Zbl 0816.35063
Chen, Yun-Gang; Giga, Yoshikazu; Goto, Shun’ichi
1991
Singular limit of the incompressible ideal magneto-fluid motion with respect to the Alfvén number. Zbl 0702.76124
Goto, Shun’ichi
1990
Uniqueness and existence of viscosity solutions of generalized mean curvature flow equations. Zbl 0735.35082
Chen, Yun-Gang; Giga, Yoshikazu; Goto, Shun’ichi
1989
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#### Cited by 457 Authors

 23 Giga, Yoshikazu 8 Chambolle, Antonin 8 Novaga, Matteo 7 Caselles Costa, Vicent 7 Chen, Xinfu 7 Liu, Qing 6 Bellettini, Giovanni 6 Colding, Tobias Holck 6 Sato, Moto-Hiko 5 Barles, Guy 5 Cardaliaguet, Pierre 5 Haslhofer, Robert 5 Katsoulakis, Markos A. 5 Ley, Olivier 5 Minicozzi, William Philip II 5 Souganidis, Panagiotis E. 4 Giga, Mi-Ho 4 Hamamuki, Nao 4 Hsu, Shu-Yu 4 Ishii, Hitoshi 4 Lions, Pierre-Louis 4 Mitake, Hiroyoshi 4 Monteillet, Aurélien 4 Morini, Massimiliano 4 Osher, Stanley Joel 4 Ponsiglione, Marcello 4 Quaas, Alexander 4 Sapiro, Guillermo 4 Soravia, Pierpaolo 4 Zhang, Longjie 3 Azami, Shahroud 3 Banerjee, Agnid 3 Bretin, Elie 3 Bronsard, Lia 3 Carlini, Elisabetta 3 Citti, Giovanna 3 De Zan, Cecilia 3 Felmer, Patricio L. 3 Feng, Xiaobing 3 Forcadel, Nicolas 3 Friz, Peter Karl 3 Garofalo, Nicola 3 Gurtin, Morton Edward 3 Hershkovits, Or 3 Hilhorst, Danielle 3 Ishige, Kazuhiro 3 Kawohl, Bernd 3 Kim, Soojung 3 Kwon, Dohyun 3 Le Guyader, Carole 3 Manfredi, Juan J. 3 Mikula, Karol 3 Spruck, Joel 3 Tonegawa, Yoshihiro 3 Yip, Nung Kwan 2 Akagi, Goro 2 Alfaro, Matthieu 2 Alvarez, Luis F. 2 Andrews, Ben 2 Angenent, Sigurd Bernardus 2 Attouchi, Amal 2 Bernoff, Andrew J. 2 Bernstein, Jacob 2 Berti, Diego 2 Bian, Baojun 2 Biton, Samuel 2 Chopp, David L. 2 Dávila, Gonzalo 2 Diaz Diaz, Jesus Ildefonso 2 Diehl, Joscha 2 Ecker, Klaus 2 Ei, Shin-Ichiro 2 Evans, Lawrence Christopher 2 Evans, Lawrence Craig 2 Fedkiw, Ronald P. 2 Feireisl, Eduard 2 Feleqi, Ermal 2 Ferretti, Roberto Giorgio 2 Fife, Paul C. 2 Gang, Zhou 2 Gout, Christian 2 Guo, Jong-Shenq 2 Hui, Kin Ming 2 Imbert, Cyril 2 Ishii, Katsuyuki 2 Juutinen, Petri 2 Kim, Inwon Christina 2 Kimura, Masato 2 Kitamura, Mitsuru 2 Kleiner, Bruce 2 Kohn, Robert Vita 2 Lauer, Joseph 2 Laurençot, Philippe 2 Laux, Tim 2 Liu, Qing 2 Liu, Qing 2 Magnanini, Rolando 2 Masnou, Simon 2 Matano, Hiroshi 2 McCoy, James Alexander ...and 357 more Authors
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#### Cited in 110 Serials

 23 Journal of Differential Equations 20 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 20 Calculus of Variations and Partial Differential Equations 14 Archive for Rational Mechanics and Analysis 13 Journal of Computational Physics 13 The Journal of Geometric Analysis 11 Mathematische Annalen 9 Transactions of the American Mathematical Society 9 Communications in Partial Differential Equations 9 NoDEA. Nonlinear Differential Equations and Applications 8 Journal de Mathématiques Pures et Appliquées. Neuvième Série 6 Communications on Pure and Applied Mathematics 5 Journal of Mathematical Analysis and Applications 5 Journal für die Reine und Angewandte Mathematik 5 Proceedings of the Japan Academy. Series A 5 Japan Journal of Industrial and Applied Mathematics 5 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 4 Numerische Mathematik 4 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 4 Physica D 4 Applied Numerical Mathematics 4 Communications on Pure and Applied Analysis 4 Nonlinear Analysis. Theory, Methods & Applications 3 Advances in Mathematics 3 Inventiones Mathematicae 3 Journal of Functional Analysis 3 Acta Mathematicae Applicatae Sinica. English Series 3 Applied Mathematics Letters 3 Journal of Scientific Computing 3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 3 Bulletin of the American Mathematical Society. New Series 3 Interfaces and Free Boundaries 3 Communications in Contemporary Mathematics 3 Journal of Evolution Equations 2 Applicable Analysis 2 Computers & Mathematics with Applications 2 Journal of Statistical Physics 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Mathematics of Computation 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 The Annals of Probability 2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 2 Duke Mathematical Journal 2 Journal of Optimization Theory and Applications 2 Manuscripta Mathematica 2 Mathematische Nachrichten 2 Proceedings of the American Mathematical Society 2 SIAM Journal on Numerical Analysis 2 Probability Theory and Related Fields 2 Journal of the American Mathematical Society 2 European Journal of Applied Mathematics 2 Geometric and Functional Analysis. GAFA 2 SIAM Journal on Mathematical Analysis 2 Experimental Mathematics 2 SIAM Journal on Scientific Computing 2 Discrete and Continuous Dynamical Systems 2 Annals of Mathematics. Second Series 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Multiscale Modeling & Simulation 2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 SIAM Journal on Imaging Sciences 2 Discrete and Continuous Dynamical Systems. Series S 2 Stochastic and Partial Differential Equations. Analysis and Computations 2 Geometric Flows 1 Communications in Mathematical Physics 1 Discrete Applied Mathematics 1 International Journal for Numerical Methods in Fluids 1 Journal of Mathematical Biology 1 Nonlinearity 1 Journal of Geometry and Physics 1 Applied Mathematics and Computation 1 Archiv der Mathematik 1 Journal of the London Mathematical Society. Second Series 1 Kybernetika 1 Mathematische Zeitschrift 1 Memoirs of the American Mathematical Society 1 Tohoku Mathematical Journal. Second Series 1 Statistics & Probability Letters 1 Bulletin of the Iranian Mathematical Society 1 Sugaku Expositions 1 International Journal of Mathematics 1 The Annals of Applied Probability 1 Applications of Mathematics 1 Journal of Global Optimization 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 Numerical Algorithms 1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 1 Journal of Dynamics and Differential Equations 1 Journal of Nonlinear Science 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Set-Valued Analysis 1 Bulletin des Sciences Mathématiques 1 Electronic Research Announcements of the American Mathematical Society 1 Finance and Stochastics 1 Computing and Visualization in Science 1 Abstract and Applied Analysis 1 Taiwanese Journal of Mathematics 1 Geometry & Topology 1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 1 Computational Geosciences ...and 10 more Serials
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#### Cited in 34 Fields

 256 Partial differential equations (35-XX) 117 Differential geometry (53-XX) 65 Calculus of variations and optimal control; optimization (49-XX) 46 Numerical analysis (65-XX) 26 Global analysis, analysis on manifolds (58-XX) 24 Probability theory and stochastic processes (60-XX) 19 Fluid mechanics (76-XX) 16 Computer science (68-XX) 15 Mechanics of deformable solids (74-XX) 11 Classical thermodynamics, heat transfer (80-XX) 10 Statistical mechanics, structure of matter (82-XX) 10 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 7 Biology and other natural sciences (92-XX) 7 Systems theory; control (93-XX) 7 Information and communication theory, circuits (94-XX) 6 Dynamical systems and ergodic theory (37-XX) 5 Integral equations (45-XX) 5 Operator theory (47-XX) 5 Convex and discrete geometry (52-XX) 3 Measure and integration (28-XX) 3 Potential theory (31-XX) 3 Ordinary differential equations (34-XX) 3 Optics, electromagnetic theory (78-XX) 2 Functional analysis (46-XX) 2 Statistics (62-XX) 2 Mechanics of particles and systems (70-XX) 2 Operations research, mathematical programming (90-XX) 1 Algebraic geometry (14-XX) 1 Topological groups, Lie groups (22-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Manifolds and cell complexes (57-XX) 1 Relativity and gravitational theory (83-XX) 1 Geophysics (86-XX)