REGULARITY AND GLOBAL STRUCTURE OF SOLUTIONS TO HAMILTON–JACOBI EQUATIONS I: CONVEX HAMILTONIANS

DOI10.1142/S0219891608001647zbMath1172.35012MaRDI QIDQ5506459

Tao Tang, Yinchuan Zhao, Jinghua Wang

Publication date: 28 January 2009

Published in: Journal of Hyperbolic Differential Equations (Search for Journal in Brave)

zbMATH Keywords

Hopf's formulasingularity point

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) First-order nonlinear hyperbolic equations (35L60) Viscosity solutions to Hamilton-Jacobi equations in optimal control and differential games (49L25)

Related Items (5)

Termination time of characteristics of Hamilton-Jacobi equations ⋮ Global structure and regularity of solutions to the Eikonal equation ⋮ On the Hamilton-Jacobi equation and infimal convolution in the framework of Sobolev-functions ⋮ REGULARITY AND GLOBAL STRUCTURE OF SOLUTIONS TO HAMILTON–JACOBI EQUATIONS II: CONVEX INITIAL DATA ⋮ Regularity and global structure for Hamilton–Jacobi equations with convex Hamiltonian

Cites Work

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• ON THE PIECEWISE SMOOTHNESS OF ENTROPY SOLUTIONS TO SCALAR CONSERVATION LAWS FOR A LARGER CLASS OF INITIAL DATA
• On Hopf's formulas for solutions of Hamilton-Jacobi equations
• On Hopf's formula for lipschitz solutions of the cauchy problem for Hamilton-Jacobi equations
• GENERALIZED SOLUTIONS OF NONLINEAR FIRST ORDER EQUATIONS WITH SEVERAL INDEPENDENT VARIABLES. II

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