Local behavior of solutions of Hamilton-Jacobi equations

DOI10.1016/0362-546X(94)00258-JzbMath0839.35077MaRDI QIDQ4861559

Stephen A. Williams

Publication date: 19 June 1996

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

zbMATH Keywords

viscosity solutionregular pointpropagation of singularities

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Shocks and singularities for hyperbolic equations (35L67) First-order nonlinear hyperbolic equations (35L60)

Cites Work

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• Formation of singularities for viscosity solutions of hamilton—jacobi equations in higher dimensions
• Some Properties of Viscosity Solutions of Hamilton-Jacobi Equations
• Differential Games, Optimal Control and Directional Derivatives of Viscosity Solutions of Bellman’s and Isaacs’ Equations
• Viscosity Solutions of Hamilton-Jacobi Equations
• Some Characterizations of Optimal Trajectories in Control Theory
• Generalized one-sided estimates for solutions of Hamilton-Jacobi equations and applications
• The partial differential equation u_t + uu_x = μ_xx

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