The regularity of generalized solutions of Hamilton--Jacobi equations

DOI10.1016/j.na.2004.07.034zbMath1072.35056OpenAlexW2055820821MaRDI QIDQ1763689

Xianqiang Yang

Publication date: 22 February 2005

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2004.07.034

zbMATH Keywords

Hopf's formulasStrip of differentiability

Mathematics Subject Classification ID

Initial value problems for nonlinear first-order PDEs (35F25) Viscosity solutions to Hamilton-Jacobi equations in optimal control and differential games (49L25)

Related Items (5)

Termination time of characteristics of Hamilton-Jacobi equations ⋮ Regularity properties of viscosity solution of nonconvex Hamilton–Jacobi equations ⋮ Layered viscosity solutions of nonautonomous Hamilton-Jacobi equations: semiconvexity and relations to characteristics ⋮ On the Hamilton-Jacobi equation and infimal convolution in the framework of Sobolev-functions ⋮ Regularity and global structure for Hamilton–Jacobi equations with convex Hamiltonian

Cites Work

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• Prolongation of classical solutions and singularities of generalized solutions
• Explicit global Lipschitz solutions to first-order, nonlinear partial differential equations
• Asymptotic behaviour of the solutions of the Cauchy problem for non-linear first order equations
• Regularity of Hamilton-Jacobi equations when forward is backward
• On Hopf's formula for lipschitz solutions of the cauchy problem for Hamilton-Jacobi equations
• Convex Analysis

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