Atsushi Nakayasu

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All published works

Action	Title	Year	Authors
+ PDF Chat	Mathematical analysis of a partial differential equation system on the thickness	2024	Atsushi Nakayasu Takayuki Yamada
+	Stability of metric viscosity solutions under Hausdorff convergence	2023	Shimpei Makida Atsushi Nakayasu
+ PDF Chat	Convexity preserving properties for Hamilton-Jacobi equations in geodesic spaces	2018	Qing Liu Atsushi Nakayasu
+ PDF Chat	Stability properties and large time behavior of viscosity solutions of Hamilton–Jacobi equations on metric spaces	2018	Atsushi Nakayasu Tokinaga Namba
+ PDF Chat	Integrability of the derivative of solutions to a singular one-dimensional parabolic problem	2018	Atsushi Nakayasu Piotr Rybka
+ PDF Chat	Two approaches to minimax formula of the additive eigenvalue for quasiconvex Hamiltonians	2018	Atsushi Nakayasu
+	Integrability of the derivative of solutions to a singular one-dimensional parabolic problem	2017	Atsushi Nakayasu Piotr Rybka
+	Convexity preserving properties for Hamilton-Jacobi equations in geodesic spaces	2017	Qing Liu Atsushi Nakayasu
+ PDF Chat	Energy Solutions to One-Dimensional Singular Parabolic Problems with $${ BV}$$ Data are Viscosity Solutions	2017	Atsushi Nakayasu Piotr Rybka
+	Stability properties and large time behavior of viscosity solutions of Hamilton-Jacobi equations on metric spaces	2016	Atsushi Nakayasu Tokinaga Namba
+	Energy solutions to one-dimensional singular parabolic problems with $BV$ data are viscosity solutions	2016	Atsushi Nakayasu Piotr Rybka
+	On cell problems for Hamilton–Jacobi equations with non-coercive Hamiltonians and their application to homogenization problems	2015	Nao Hamamuki Atsushi Nakayasu Tokinaga Namba
+	On cell problems for Hamilton-Jacobi equations with non-coercive Hamiltonians and its application to homogenization problems	2015	Nao Hamamuki Atsushi Nakayasu Tokinaga Namba
+	Eikonal equations in metric spaces	2014	Yoshikazu Giga Nao Hamamuki Atsushi Nakayasu
+	On metric viscosity solutions for Hamilton-Jacobi equations of evolution type	2014	Atsushi Nakayasu
+	On cell problems for Hamilton-Jacobi equations with non-coercive Hamiltonians and its application to homogenization problems	2014	Nao Hamamuki Atsushi Nakayasu Tokinaga Namba
+	Two approaches to minimax formula of the additive eigenvalue for quasiconvex Hamiltonians	2014	Atsushi Nakayasu
+ PDF Chat	On general existence results for one-dimensional singular diffusion equations with spatially inhomogeneous driving force	2013	Mi-Ho Giga Yoshikazu Giga Atsushi Nakayasu
+	Eikonal equations in metric spaces	2011	Yoshikazu Giga Nao Hamamuki Atsushi Nakayasu

Common Coauthors

Coauthor	Papers Together
Nao Hamamuki	5
Tokinaga Namba	5
Piotr Rybka	4
Yoshikazu Giga	3
Qing Liu	1
Mi-Ho Giga	1
Takayuki Yamada	1
Shimpei Makida	1
Qing Liu	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	User’s guide to viscosity solutions of second order partial differential equations	1992	Michael G. Crandall Hitoshi Ishii Pierre-Louis Lions	7
+	Eikonal equations in metric spaces	2014	Yoshikazu Giga Nao Hamamuki Atsushi Nakayasu	4
+	Lagrangian Graphs, Minimizing Measures and Ma��'s Critical Values	1998	Mauricio Contreras Renato Iturriaga Gabriel P. Paternain Miguel Paternain	4
+ PDF Chat	Motion of level sets by mean curvature. I	1991	L. C. Evans Joel Spruck	4
+ PDF Chat	Homogenization of Weakly Coupled Systems of Hamilton–Jacobi Equations with Fast Switching Rates	2013	Hiroyoshi Mitake Hung V. Tran	4
+	Remarks on the long time behaviour of the solutions of hamilton-jacobi equations	1999	Gawtum Namah Jean‐Michel Roquejoffre	4
+	Singular Neumann problems and large-time behavior of solutions of noncoercive Hamilton-Jacobi equations	2013	Yoshikazu Giga Qing Liu Hiroyoshi Mitake	4
+ PDF Chat	Hamilton-Jacobi Equations with Discontinuous Source Terms	2012	Yoshikazu Giga Nao Hamamuki	4
+	Operateurs Maximaux Monotones - Et Semi-Groupes De Contractions Dans Les Espaces De Hilbert	1973	Haı̈m Brezis	3
+	Perron’s method for Hamilton-Jacobi equations	1987	Hitoshi Ishii	3
+ PDF Chat	Stability for evolving graphs by nonlocal weighted curvature	1999	Mi-Ho Giga Yoshikazu Giga	3
+	Generalized Motion¶by Nonlocal Curvature in the Plane	2001	Mi-Ho Giga Yoshikazu Giga	3
+ PDF Chat	Viscosity solutions of Eikonal equations on topological networks	2012	Dirk Schieborn Fabio Camilli	3
+ PDF Chat	A Hamilton-Jacobi approach to junction problems and application to traffic flows	2012	Cyril Imbert Régis Monneau Hasnaa Zidani	3
+ PDF Chat	Uniqueness and existence of viscosity solutions of generalized mean curvature flow equations	1991	Yun Gang Chen Yoshikazu Giga Shun’ichi Goto	3
+ PDF Chat	Well posedness of sudden directional diffusion equations	2013	Piotr B. Mucha Piotr Rybka	3
+ PDF Chat	Evolving Graphs by Singular Weighted Curvature	1998	Mi-Ho Giga Yoshikazu Giga	3
+ PDF Chat	Discontinuous solutions of deterministic optimal stopping time problems	1987	Guy Barles Benoı̂t Perthame	2
+ PDF Chat	Motion of a graph by nonsmooth weighted curvature	1996	Toshihide Fukui Yoshikazu Giga	2
+ PDF Chat	Jensen's inequality for quasiconvex functions	2012	Charles Pearce Sever S Dragomir	2
+ PDF Chat	Nonconvex minimization problems	1979	Ivar Ekeland	2
+	An introduction to the theory of real functions	1989	Stanisław Łojasiewicz A. V. Ferreira	2
+	Singular Perturbations of Nonlinear Degenerate Parabolic PDEs: a General Convergence Result	2003	Olivier Alvarez Martino Bardi	2
+ PDF Chat	A caricature of a singular curvature flow in the plane	2008	Piotr B. Mucha Piotr Rybka	2
+	Counter-Example in Three Dimension and Homogenization of Geometric Motions in Two Dimension	2014	Luis Caffarelli Régis Monneau	2
+ PDF Chat	Hamilton–Jacobi equations constrained on networks	2012	Yves Achdou Fabio Camilli Alessandra Cutrı̀ Nicoletta Tchou	2
+ PDF Chat	Generalized gradients and applications	1975	Frank H. Clarke	2
+	Optimization and Nonsmooth Analysis	1990	Frank H. Clarke	2
+	Metric viscosity solutions of Hamilton–Jacobi equations depending on local slopes	2015	Wilfrid Gangbo Andrzej Święch	2
+	Periodic homogenisation of certain fully nonlinear partial differential equations	1992	Lawrence C. Evans	2
+	The Dirichlet Problem for the Total Variation Flow	2001	F. Andreu Coloma Ballester Vicent Caselles José M. Mazón	2
+	Integral representation of convex functionals on a space of measures	1988	Guy Bouchitté Michel Valadier	2
+	Large-time asymptotics for one-dimensional Dirichlet problems for Hamilton–Jacobi equations with noncoercive Hamiltonians	2011	Yoshikazu Giga Qing Liu Hiroyoshi Mitake	2
+	On metric viscosity solutions for Hamilton-Jacobi equations of evolution type	2014	Atsushi Nakayasu	2
+	Semicontinuous Viscosity Solutions For Hamilton–Jacobi Equations With Convex Hamiltonians	1990	E. N. Barron R. Jensen	2
+	PDE aspects of Aubry-Mather theory for quasiconvex Hamiltonians	2004	Albert Fathi Antonio Siconolfi	2
+ PDF Chat	Regularity for solutions of the total variation denoising problem	2011	Vicent Caselles Antonin Chambolle Matteo Novaga	2
+ PDF Chat	Compact sets in the spaceL p (O,T; B)	1986	Jacques Simon	2
+	Ergodicity of Hamilton–Jacobi equations with a noncoercive nonconvex Hamiltonian in $ R^{2}/Z^{2} $	2009	Pierre Cardaliaguet	2
+	Some new PDE methods for weak KAM theory	2003	L. C. Evans	2
+	The Dirichlet problem associated to the relativistic heat equation	2009	F. Andreu Vicent Caselles José M. Mazón Salvador Moll	2
+	A discussion about the homogenization of moving interfaces	2009	Pierre Cardaliaguet Pierre Louis Lions Panagiotis E. Souganidis	2
+ PDF Chat	On general existence results for one-dimensional singular diffusion equations with spatially inhomogeneous driving force	2013	Mi-Ho Giga Yoshikazu Giga Atsushi Nakayasu	2
+	On the variational principle	1974	Ivar Ekeland	2
+	Hamilton-Jacobi equations in infinite dimensions I. Uniqueness of viscosity solutions	1985	Michael G. Crandall Pierre‐Louis Lions	2
+ PDF Chat	Some homogenization results for non-coercive Hamilton–Jacobi equations	2007	Guy Barles	2
+	On cell problems for Hamilton–Jacobi equations with non-coercive Hamiltonians and their application to homogenization problems	2015	Nao Hamamuki Atsushi Nakayasu Tokinaga Namba	2
+ PDF Chat	Eikonal equations on the Sierpinski gasket	2015	Fabio Camilli Raffaela Capitanelli Claudio Marchi	2
+ PDF Chat	Hamilton-Jacobi methods for Vakonomic Mechanics	2007	Diogo A. Gomes	2
+	Sur la convergence du semi-groupe de Lax-Oleinik	1998	Albert Fathi	2