Edit Profile (opens in new tab) Goto, Shun’ichi Co-Author Distance Author ID: goto.shunichi Published as: Goto, Shun’ichi; Goto, S. Documents Indexed: 22 Publications since 1957, including 2 Additional arXiv Preprints 2 Contributions as Editor Co-Authors: 10 Co-Authors with 13 Joint Publications 336 Co-Co-Authors all top 5 Co-Authors 6 single-authored 10 Giga, Yoshikazu 4 Chen, Yungang 3 Tucker, Robin W. 3 Walton, Timothy J. 2 Ishii, Hitoshi 1 Elliott, Charles M. 1 Hara, Ryota 1 Ijima, K. 1 Mori, Nozomu 1 Nakagawa, Maki 1 Obiya, H. 1 Ohtsuka, Takeshi 1 Okayama, Tomoaki 1 Sato, Moto-Hiko all top 5 Serials 3 RIMS Kokyuroku 2 Indiana University Mathematics Journal 2 Proceedings of the Japan Academy. Series A 2 SIAM Journal on Mathematical Analysis 2 Il Nuovo Cimento, X. Series 1 Reviews in Mathematical Physics 1 Hokkaido Mathematical Journal 1 Journal of Differential Geometry 1 Journal of the Mathematical Society of Japan 1 Differential and Integral Equations 1 CMES. Computer Modeling in Engineering & Sciences 1 Journal of Physics A: Mathematical and Theoretical all top 5 Fields 14 Partial differential equations (35-XX) 5 Differential geometry (53-XX) 3 Numerical analysis (65-XX) 3 Fluid mechanics (76-XX) 2 General and overarching topics; collections (00-XX) 2 Optics, electromagnetic theory (78-XX) 2 Quantum theory (81-XX) 1 Sequences, series, summability (40-XX) 1 Computer science (68-XX) 1 Mechanics of deformable solids (74-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Statistical mechanics, structure of matter (82-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 13 Publications have been cited 586 times in 472 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 346 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. 113 1991 Motion of hypersurfaces and geometric equations. Zbl 0739.53005 Giga, Yoshikazu; Goto, Shun’ichi 25 1992 Uniqueness and existence of viscosity solutions of generalized mean curvature flow equations. Zbl 0735.35082 Chen, Yun-Gang; Giga, Yoshikazu; Goto, Shun’ichi 24 1989 Global existence of weak solutions for interface equations coupled with diffusion equations. Zbl 0754.35061 Giga, Yoshikazu; Goto, Shun’ichi; Ishii, Hitoshi 18 1992 Generalized motion of hypersurfaces whose growth speed depends superlinearly on the curvature tensor. Zbl 0808.35007 Goto, Shun’ichi 14 1994 Geometric evolution of phase-boundaries. Zbl 0771.35027 Giga, Yoshikazu; Goto, Shun’ichi 11 1992 Dynamic boundary conditions for Hamilton–Jacobi equations. Zbl 1030.35115 Elliott, C. M.; Giga, Y.; Goto, S. 10 2003 Remarks on viscosity solutions for evolution equations. Zbl 0816.35063 Chen, Yun-Gang; Giga, Yoshikazu; Goto, Shun’ichi 7 1991 Analysis toward snow crystal growth. Zbl 0817.76090 Chen, Yun-Gang; Giga, Yoshikazu; Goto, Shun’ichi 7 1991 Singular limit of the incompressible ideal magneto-fluid motion with respect to the Alfvén number. Zbl 0702.76124 Goto, Shun’ichi 5 1990 Uniqueness and existence of generalized motion for spiral crystal growth. Zbl 1161.53057 Goto, Shun’ichi; Nakagawa, Maki; Ohtsuka, Takeshi 5 2008 The dynamics of compact laser pulses. Zbl 1342.78035 Goto, S.; Tucker, R. W.; Walton, T. J. 3 2016 The dynamics of compact laser pulses. Zbl 1342.78035 Goto, S.; Tucker, R. W.; Walton, T. J. 3 2016 Uniqueness and existence of generalized motion for spiral crystal growth. Zbl 1161.53057 Goto, Shun’ichi; Nakagawa, Maki; Ohtsuka, Takeshi 5 2008 Dynamic boundary conditions for Hamilton–Jacobi equations. Zbl 1030.35115 Elliott, C. M.; Giga, Y.; Goto, S. 10 2003 Generalized motion of hypersurfaces whose growth speed depends superlinearly on the curvature tensor. Zbl 0808.35007 Goto, Shun’ichi 14 1994 Motion of hypersurfaces and geometric equations. Zbl 0739.53005 Giga, Yoshikazu; Goto, Shun’ichi 25 1992 Global existence of weak solutions for interface equations coupled with diffusion equations. Zbl 0754.35061 Giga, Yoshikazu; Goto, Shun’ichi; Ishii, Hitoshi 18 1992 Geometric evolution of phase-boundaries. Zbl 0771.35027 Giga, Yoshikazu; Goto, Shun’ichi 11 1992 Uniqueness and existence of viscosity solutions of generalized mean curvature flow equations. Zbl 0696.35087 Chen, Yun-Gang; Giga, Yoshikazu; Goto, Shun’ichi 346 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. 113 1991 Remarks on viscosity solutions for evolution equations. Zbl 0816.35063 Chen, Yun-Gang; Giga, Yoshikazu; Goto, Shun’ichi 7 1991 Analysis toward snow crystal growth. Zbl 0817.76090 Chen, Yun-Gang; Giga, Yoshikazu; Goto, Shun’ichi 7 1991 Singular limit of the incompressible ideal magneto-fluid motion with respect to the Alfvén number. Zbl 0702.76124 Goto, Shun’ichi 5 1990 Uniqueness and existence of viscosity solutions of generalized mean curvature flow equations. Zbl 0735.35082 Chen, Yun-Gang; Giga, Yoshikazu; Goto, Shun’ichi 24 1989 all cited Publications top 5 cited Publications all top 5 Cited by 575 Authors 28 Giga, Yoshikazu 14 Liu, Qing 12 Novaga, Matteo 9 Chambolle, Antonin 9 Colding, Tobias Holck 9 Tonegawa, Yoshihiro 7 Caselles Costa, Vicent 7 Chen, Xinfu 7 Haslhofer, Robert 7 Minicozzi, William Philip II 7 Mitake, Hiroyoshi 7 Souganidis, Panagiotis E. 6 Bellettini, Giovanni 6 Hamamuki, Nao 6 Morini, Massimiliano 6 Sato, Moto-Hiko 5 Barles, Guy 5 Cardaliaguet, Pierre 5 Giga, Mi-Ho 5 Katsoulakis, Markos A. 5 Kwon, Dohyun 5 Ley, Olivier 5 Ninomiya, Hirokazu 5 Parviainen, Mikko 5 Ponsiglione, Marcello 4 Banerjee, Agnid 4 Bretin, Elie 4 Carlini, Elisabetta 4 Cesaroni, Annalisa 4 Epshteyn, Yekaterina 4 Evans, Lawrence Craig 4 Hershkovits, Or 4 Hsu, Shu-Yu 4 Ishii, Hitoshi 4 Julin, Vesa 4 Laux, Tim 4 Le Guyader, Carole 4 Lions, Pierre-Louis 4 Liu, Chun 4 Mikula, Karol 4 Mizuno, Masashi 4 Monteillet, Aurélien 4 Osher, Stanley Joel 4 Požár, Norbert 4 Quaas, Alexander 4 Sapiro, Guillermo 4 Soravia, Pierpaolo 4 Takasao, Keisuke 4 Valdinoci, Enrico 4 Zhang, Longjie 3 Azami, Shahroud 3 Bernstein, Jacob 3 Berti, Diego 3 Bronsard, Lia 3 Citti, Giovanna 3 De Zan, Cecilia 3 Esedoglu, Selim 3 Felmer, Patricio L. 3 Feng, Xiaobing 3 Forcadel, Nicolas 3 Friz, Peter 3 Garofalo, Nicola 3 Gurtin, Morton Edward 3 Hilhorst, Danielle 3 Ishige, Kazuhiro 3 Ju, Qiangchang 3 Kawohl, Bernd 3 Kim, Inwon Christina 3 Kim, Soojung 3 Magnanini, Rolando 3 Manfredi, Juan J. 3 Masnou, Simon 3 Niinikoski, Joonas 3 Ohtsuka, Takeshi 3 Paolini, Maurizio 3 Röger, Matthias 3 Sinestrari, Carlo 3 Spruck, Joel 3 Stuvard, Salvatore 3 Teixeira, Ralph Costa 3 Tran Vinh Hung 3 Vazquez, Juan Luis 3 Wang, Lu 3 Wu, Changhong 3 Yip, Nung Kwan 2 Akagi, Goro 2 Alfaro, Matthieu 2 Andrews, Ben 2 Angenent, Sigurd Bernardus 2 Attouchi, Amal 2 Bernoff, Andrew J. 2 Bian, Baojun 2 Biton, Samuel 2 Chen, Yanyu 2 Chopp, David L. 2 Cinti, Eleonora 2 Courte, Luca 2 Craizer, Marcos 2 Daniels-Holgate, J. M. 2 Dávila, Gonzalo ...and 475 more Authors all top 5 Cited in 141 Serials 26 Calculus of Variations and Partial Differential Equations 24 Journal of Differential Equations 21 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 19 The Journal of Geometric Analysis 17 Archive for Rational Mechanics and Analysis 14 Journal of Computational Physics 14 Mathematische Annalen 11 Communications on Pure and Applied Mathematics 11 NoDEA. Nonlinear Differential Equations and Applications 10 Transactions of the American Mathematical Society 10 Communications in Partial Differential Equations 10 Journal de Mathématiques Pures et Appliquées. Neuvième Série 7 Journal of Mathematical Analysis and Applications 7 Journal für die Reine und Angewandte Mathematik 7 SIAM Journal on Mathematical Analysis 6 Applicable Analysis 6 Communications on Pure and Applied Analysis 5 Inventiones Mathematicae 5 Proceedings of the Japan Academy. Series A 5 Physica D 5 Applied Numerical Mathematics 5 Japan Journal of Industrial and Applied Mathematics 5 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 5 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 4 Advances in Mathematics 4 Journal of Functional Analysis 4 Numerische Mathematik 4 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 4 Journal of Scientific Computing 4 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 4 Bulletin of the American Mathematical Society. New Series 4 Discrete and Continuous Dynamical Systems 4 Interfaces and Free Boundaries 4 Advances in Calculus of Variations 3 Mathematics of Computation 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Duke Mathematical Journal 3 SIAM Journal on Numerical Analysis 3 Acta Mathematicae Applicatae Sinica. English Series 3 Probability Theory and Related Fields 3 Applied Mathematics Letters 3 Geometric and Functional Analysis. GAFA 3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 3 Journal of Mathematical Imaging and Vision 3 Communications in Contemporary Mathematics 3 Journal of Evolution Equations 3 SIAM Journal on Imaging Sciences 3 Discrete and Continuous Dynamical Systems. Series S 3 Analysis & PDE 3 Nonlinear Analysis. Theory, Methods & Applications 2 Computers & Mathematics with Applications 2 Journal of Statistical Physics 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 The Annals of Probability 2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 2 Indiana University Mathematics Journal 2 Journal of the London Mathematical Society. Second Series 2 Journal of Optimization Theory and Applications 2 Manuscripta Mathematica 2 Mathematische Nachrichten 2 Proceedings of the American Mathematical Society 2 Journal of the American Mathematical Society 2 Sugaku Expositions 2 European Journal of Applied Mathematics 2 Experimental Mathematics 2 SIAM Journal on Scientific Computing 2 Computing and Visualization in Science 2 Mathematical Finance 2 Annals of Mathematics. Second Series 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Multiscale Modeling & Simulation 2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 2 Stochastic and Partial Differential Equations. Analysis and Computations 2 Geometric Flows 2 SN Partial Differential Equations and Applications 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 Annales de l’Institut Fourier 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Applied Mathematics and Computation 1 Archiv der Mathematik 1 Bulletin of the London Mathematical Society 1 Hiroshima Mathematical Journal 1 Hokkaido Mathematical Journal 1 Journal of Differential Geometry 1 Kybernetika 1 Mathematische Zeitschrift 1 Memoirs of the American Mathematical Society 1 Tôhoku Mathematical Journal. Second Series 1 Zeitschrift für Analysis und ihre Anwendungen 1 Statistics & Probability Letters 1 Bulletin of the Iranian Mathematical Society 1 Revista Matemática Iberoamericana 1 International Journal of Mathematics 1 The Annals of Applied Probability 1 Applications of Mathematics ...and 41 more Serials all top 5 Cited in 35 Fields 347 Partial differential equations (35-XX) 180 Differential geometry (53-XX) 85 Calculus of variations and optimal control; optimization (49-XX) 64 Numerical analysis (65-XX) 36 Global analysis, analysis on manifolds (58-XX) 29 Probability theory and stochastic processes (60-XX) 28 Fluid mechanics (76-XX) 21 Computer science (68-XX) 20 Mechanics of deformable solids (74-XX) 17 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 13 Classical thermodynamics, heat transfer (80-XX) 13 Statistical mechanics, structure of matter (82-XX) 12 Information and communication theory, circuits (94-XX) 10 Systems theory; control (93-XX) 9 Biology and other natural sciences (92-XX) 8 Dynamical systems and ergodic theory (37-XX) 7 Operator theory (47-XX) 7 Convex and discrete geometry (52-XX) 6 Ordinary differential equations (34-XX) 5 Integral equations (45-XX) 4 Measure and integration (28-XX) 4 Optics, electromagnetic theory (78-XX) 3 Real functions (26-XX) 3 Potential theory (31-XX) 3 Statistics (62-XX) 3 Mechanics of particles and systems (70-XX) 3 Operations research, mathematical programming (90-XX) 2 Algebraic geometry (14-XX) 2 Topological groups, Lie groups (22-XX) 2 Functional analysis (46-XX) 2 Manifolds and cell complexes (57-XX) 2 Relativity and gravitational theory (83-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Geophysics (86-XX) Citations by Year