Shun’ichi Goto

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All published works

Action	Title	Year	Authors
+	Error analyses of Sinc-collocation methods for exponential decay initial value problems	2024	Tomoaki Okayama Ryota Hara Shun’ichi Goto
+	Error analyses of Sinc-collocation methods for exponential decay initial value problems	2023	Tomoaki Okayama Ryota Hara Shun’ichi Goto
+ PDF Chat	Uniqueness and existence of generalized motion for spiral crystal growth	2008	Shun’ichi Goto Maki Nakagawa Takeshi Ohtsuka
+	UNIQUENESS AND EXISTENCE FOR SPIRAL CRYSTAL GROWTH(Viscosity Solution Theory of Differential Equations and its Developments)	2007	Shun’ichi Goto
+	Uniqueness and existence of generalized motion for spiral crystal growth	2007	Shun’ichi Goto Maki Nakagawa Takeshi Ohtsuka
+ PDF Chat	Dynamic Boundary Conditions for Hamilton--Jacobi Equations	2003	Charles M. Elliott Yoshikazu Giga Shun’ichi Goto
+	DYNAMIC BOUNDARY CONDITIONS FOR HAMILTON-JACOBI EQUATIONS (Viscosity Solutions of Differential Equations and Related Topics)	2002	Shun’ichi Goto
+	Uniqueness and Existence of Viscosity Solutions of Generalized mean Curvature Flow Equations	1999	Yun-Gang Chen Yoshikazu Giga Shun’ichi Goto
+ PDF Chat	Generalized motion of hypersurfaces whose growth speed depends superlinearly on the curvature tensor	1994	Shun’ichi Goto
+ PDF Chat	Global Existence of Weak Solutions for Interface Equations Coupled with Diffusion Equations	1992	Yoshikazu Giga Shun’ichi Goto Hitoshi Ishii
+ PDF Chat	Geometric Evolution of Phase-Boundaries	1992	Yoshikazu Giga Shun’ichi Goto
+ PDF Chat	Motion of hypersurfaces and geometric equations	1992	Yoshikazu Giga Shun’ichi Goto
+	A levelsurface approach to motion of hypersurfaces	1991	Shun’ichi Goto
+	Comparison Principle and Convexity Preserving Properties for Singular Degenerate Parabolic Equations on Unbounded Domains(Evolution Equations and Applications to Nonlinear Problems)	1991	Yoshikazu Giga Shun’ichi Goto Hitoshi Ishii Moto-Hiko Sato
+ PDF Chat	Remarks on viscosity solutions for evolution equations	1991	Yun-Gang Chen Yoshikazu Giga Shun’ichi Goto
+ PDF Chat	Uniqueness and existence of viscosity solutions of generalized mean curvature flow equations	1991	Yun Gang Chen Yoshikazu Giga Shun’ichi Goto
+ PDF Chat	Uniqueness and existence of viscosity solutions of generalized mean curvature flow equations	1989	Yun-Gang Chen Yoshikazu Giga Shun’ichi Goto

Common Coauthors

Coauthor	Papers Together
Yoshikazu Giga	9
Yun-Gang Chen	3
Takeshi Ohtsuka	2
Maki Nakagawa	2
Hitoshi Ishii	2
Tomoaki Okayama	2
Ryota Hara	1
Charles M. Elliott	1
Moto-Hiko Sato	1
Yun Gang Chen	1
Ryota Hara	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Uniqueness and existence of viscosity solutions of generalized mean curvature flow equations	1991	Yun Gang Chen Yoshikazu Giga Shun’ichi Goto	6
+ PDF Chat	Motion of level sets by mean curvature. I	1991	L. C. Evans Joel Spruck	6
+ PDF Chat	Uniqueness and existence of viscosity solutions of generalized mean curvature flow equations	1989	Yun-Gang Chen Yoshikazu Giga Shun’ichi Goto	5
+	The motion of a surface by its mean curvature	1978	Kenneth A. Brakke	5
+	Viscosity solutions of fully nonlinear second-order elliptic partial differential equations	1990	Hitoshi Ishii Pierre‐Louis Lions	4
+ PDF Chat	Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations	1988	Stanley Osher James A. Sethian	4
+ PDF Chat	Flow by mean curvature of convex surfaces into spheres	1984	Gerhard Huisken	4
+	The maximum principle for viscosity solutions of fully nonlinear second order partial differential equations	1988	Robert Jensen	4
+	Comparison principle and convexity preserving properties for singular degenerate parabolic equations on unbounded domains	1991	Yoshikazu Giga	4
+	On uniqueness and existence of viscosity solutions of fully nonlinear second‐order elliptic PDE's	1989	Hitoshi Ishii	4
+ PDF Chat	The heat equation shrinks embedded plane curves to round points	1987	M. Grayson	4
+ PDF Chat	Asymptotic behavior for singularities of the mean curvature flow	1990	Gerhard Huisken	3
+ PDF Chat	Uniqueness of viscosity solutions of fully nonlinear second order parabolic equations with discontinuous time-dependence	1990	Diana Nunziante	3
+ PDF Chat	Motion of hypersurfaces and geometric equations	1992	Yoshikazu Giga Shun’ichi Goto	3
+	A short note on the evolution of a surface by its mean curvature	1989	M. Grayson	3
+	Motion by mean curvature as the singular limit of Ginzburg-Landau dynamics	1991	Lia Bronsard Robert V. Kohn	3
+ PDF Chat	The heat equation shrinking convex plane curves	1986	Michael E. Gage Richard S. Hamilton	3
+ PDF Chat	The normalized curve shortening flow and homothetic solutions	1986	Uwe Abresch Joel Langer	2
+	Dynamics of interfaces in reaction diffusion systems	1991	Xu-Yan Chen	2
+	Solutions de viscosité des équations de Hamilton-Jacobi	1994	Guy Barles	2
+	Spiral traveling wave solutions of some parabolic equations on annuli	2000	Toshiko Ogiwara Ken-Ichi Nakamura	2
+ PDF Chat	Numerical algorithms for propagating interfaces: Hamilton-Jacobi equations and conservation laws	1990	James A. Sethian	2
+ PDF Chat	Geometric Evolution of Phase-Boundaries	1992	Yoshikazu Giga Shun’ichi Goto	2
+ PDF Chat	Spiral traveling wave solutions of nonlinear diffusion equations related to a model of spiral crystal growth	2003	Toshiko Ogiwara Ken-Ichi Nakamura	2
+ PDF Chat	Spiral Surface Growth without Desorption	1998	Alain Karma Mathis Plapp	2
+	A stable manifold theorem for the curve shortening equation	1987	Charles L. Epstein Michael I. Weinstein	2
+	Deforming a hypersurface by its Gauss‐Kronecker curvature	1985	Kaising Tso	2
+	User’s guide to viscosity solutions of second order partial differential equations	1992	Michael G. Crandall Hitoshi Ishii Pierre-Louis Lions	2
+	Parabolic Equations for Curves on Surfaces: Part II. Intersections, Blow-up and Generalized Solutions	1991	Sigurd Angenent	2
+ PDF Chat	A LEVEL SET APPROACH TO SEMICONTINUOUS VISCOSITY SOLUTIONS FOR CAUCHY PROBLEMS	2001	Yoshikazu Giga Moto-Hiko Sato	2
+	Linear and Quasi-linear Equations of Parabolic Type	1968	O. Ladyženskaja V. A. Solonnikov N. Ural’ceva	2
+ PDF Chat	Generalized motion of noncompact hypersurfaces with velocity having arbitrary growth on the curvature tensor	1995	Hitoshi Ishii Panagiotis E. Souganidis	2
+ PDF Chat	A uniqueness result for viscosity solutions of second order fully nonlinear partial differential equations	1988	R. Jensen Pierre‐Louis Lions Panagiotis E. Souganidis	2
+	Perron’s method for Hamilton-Jacobi equations	1987	Hitoshi Ishii	2
+	A remark on regularization in Hilbert spaces	1986	Jean‐Michel Lasry P. L. Lions	2
+	Motion of a Set by the Curvature of Its Boundary	1993	H. Meté Soner	2
+	Linear and Quasilinear Equations of Parabolic Type	1969	O. A. Ladyzhenskai︠a︡	2
+ PDF Chat	Semidifferentials, quadratic forms and fully nonlinear elliptic equations of second order	1989	Michael G. Crandall	2
+ PDF Chat	Motion of level sets by mean curvature III	1992	L. C. Evans Joel Spruck	2
+ PDF Chat	A Mean-Field Model of Superconducting Vortices in Three Dimensions	1995	S. Jonathan Chapman	1
+ PDF Chat	Motion of level sets by mean curvature. II	1992	L. C. Evans Joel Spruck	1
+ PDF Chat	Three-manifolds with positive Ricci curvature	1982	Richard S. Hamilton	1
+ PDF Chat	Evolution equations with dynamic boundary conditions	1989	Thomas Hintermann	1
+ PDF Chat	Optimal selection formulas of mesh size and truncation numbers for the double-exponential formula	2023	Tomoaki Okayama Yuta Kawai	1
+ PDF Chat	The maximum principle for semicontinuous functions	1990	Michael G. Crandall Hitoshi Ishii	1
+	Quasilinear parabolic systems with dynamical boundary conditions	1993	Joachim Escher	1
+ PDF Chat	Motion of level sets by mean curvature IV	1995	L. C. Evans Joel Spruck	1
+ PDF Chat	Numerical Solution of Initial Value Problems Based on the Double Exponential Transformation	2005	Ahniyaz Nurmuhammad Mayinur Muhammad Masatake Mori	1
+	Motion of Level Sets by Mean Curvature. I	1999	L. C. Evans Joel Spruck	1
+	Singularities and uniqueness of cylindrically symmetric surfaces moving by mean curvature	1993	H. Meté Soner Panagiotis E. Souganidis	1