Remarks on viscosity solutions for evolution equations

Keywords

Viscosity, Mathematics, Applied mathematics, Thermodynamics, Physics

References

• Analysis toward snow crystal growthChen, Yung-Gang, Yoshikazu Giga, Shun’ichi Goto — 1991
• Viscosity solutions of fully nonlinear second-order elliptic partial differential equationsHitoshi Ishii, Pierre‐Louis Lions — 1990
• Viscosity solutions of Hamilton-Jacobi equations at the boundaryMichael G. Crandall, Richard Newcomb — 1985
• Motion of hypersurfaces and geometric equationsYoshikazu Giga, Shun’ichi Goto — 1990
• A boundary value problem of the Dirichlet type for Hamilton-Jacobi equationsHitoshi Ishii — 1989
• Uniqueness of viscosity solutions of fully nonlinear second order parabolic equations with discontinuous time-dependenceDiana Nunziante — 1990
• Comparison principle and convexity preserving properties for singular degenerate parabolic equations on unbounded domainsYoshikazu Giga — 1991
• Uniqueness and existence of viscosity solutions of generalized mean curvature flow equationsYun-Gang Chen, Yoshikazu Giga, Shun’ichi Goto — 1989
• Viscosity Solutions of Hamilton-Jacobi Equations at the BoundaryMichael G. Crandall, Richard D. Newcomb — 1985
• Uniqueness and existence of viscosity solutions of generalized mean curvature flow equationsYun Gang Chen, Yoshikazu Giga, Shun’ichi Goto — 1991

Cited by

• Phase Boundary Propagation in Heterogeneous MediaBogdan Craciun — 2002
• Viscosity solutions with shocksYoshikazu Giga — 2001
• Expanding selfsimilar solutions of a crystalline flow with applications to contour figure analysisHidetaka Hontani, Mi-Ho Giga, Yoshikazu Giga — 2005
• On a lower bound for the extinction time of surfaces moved by mean curvatureYoshikazu Giga, Kazuyuki Yamauchi — 1993
• On semicontinuous solutions for general Hamilton-Jacobi equationsYoshikazu Giga, Moto-Hiko Sato — 1999
• Geometric curve evolution and image processingFrédéric Cao — 2003
• Central limit theorem under uncertain linear transformationsDmitry B. Rokhlin — 2015
• Parabolic comparison revisited and applicationsJoscha Diehl, Peter K. Friz, Harald Oberhauser — 2011
• Central limit theorem under variance uncertaintyDmitry B. Rokhlin — 2015
• Generalized Motion¶by Nonlocal Curvature in the PlaneMi-Ho Giga, Yoshikazu Giga — 2000
• Backward stochastic differential equations with rough driversJoscha Diehl, Peter K. Friz — 2010
• A LEVEL SET APPROACH TO SEMICONTINUOUS VISCOSITY SOLUTIONS FOR CAUCHY PROBLEMSYoshikazu Giga, Moto-Hiko Sato — 1999
• Geometric heat equation and nonlinear diffusion of shapes and imagesBenjamin B. Kimia, Kaleem Siddiqi — 1994
• An Evolution Equation Involving the Normalized p-LaplacianKerstin Does — 2010
• Surface Evolution Equations --- a level set method ---Yoshikazu Giga — 2002
• Effective motion of a curvature-sensitive interface through a heterogeneous mediumBogdan Craciun, Kaushik Bhattacharya — 2004
• Topics in stochastic differential equations and rough path theoryJoscha Diehl — 2012
• On Existence and Uniqueness of Second Order Fully Nonlinear PDEs with Caputo time fractional derivativesTokinaga Namba — 2017
• A contribution to non-linear PDEs with applications to the level set method, non-Newtonian fluid flows and the Boltzmann equationEleftherios Ntovoris — 2016
• On existence and uniqueness of viscosity solutions for second order fully nonlinear PDEs with Caputo time fractional derivativesTokinaga Namba — 2017

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