Viscosity solution theory of a class of nonlinear degenerate parabolic equations. I: Uniqueness and existence of viscosity solutions

DOI10.1007/BF02015135zbMath0882.35067MaRDI QIDQ1367246

Yi Zhan

Publication date: 1 February 1998

Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)

zbMATH Keywords

comparison principle\(p\)-Laplaciangeometric properties of the interfaceglobal obstacle functions

Mathematics Subject Classification ID

Related Items (2)

Viscosity solution theory of a class of nonlinear degenerate parabolic equations. II: Lipschitz continuity of free boundary ⋮ Convergence rates for semi-discrete splitting approximations for degenerate parabolic equations with source teams

Cites Work

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• Motion of level sets by mean curvature. I
• The maximum principle for viscosity solutions of fully nonlinear second order partial differential equations
• Hölder continuity of the gradient of the solutions of certain degenerate parabolic equations
• Uniqueness of viscosity solutions of fully nonlinear second order parabolic PDE's
• Optimal control of diffusion processes and hamilton–jacobi–bellman equations part 2 : viscosity solutions and uniqueness
• Viscosity Solutions of Hamilton-Jacobi Equations
• On uniqueness and existence of viscosity solutions of fully nonlinear second-order elliptic PDE's
• On the local behaviour of solutions of certain singular parabolic equations
• User’s guide to viscosity solutions of second order partial differential equations
• Some Applications of the Maximum Principle in the Problem of Torsional Creep

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