Formation of singularities for viscosity solutions of hamilton—jacobi equations in higher dimensions

DOI10.1080/03605309308820964zbMath0790.35068OpenAlexW1999311120MaRDI QIDQ3141780

Georgios T. Kossioris

Publication date: 9 November 1993

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605309308820964

zbMATH Keywords

viscosity solutionHamilton-Jacobi equationsshock wavesmethod of characteristicsshock surface

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Shock waves and blast waves in fluid mechanics (76L05) Initial value problems for nonlinear first-order PDEs (35F25) Viscosity solutions to Hamilton-Jacobi equations in optimal control and differential games (49L25)

Related Items (2)

Local behavior of solutions of Hamilton-Jacobi equations ⋮ On the System of Hamilton–Jacobi and Transport Equations Arising in Geometrical Optics

Cites Work

• On singularities of mappings of Euclidean spaces. I. Mappings of the plane into the plane
• Semi-local classification of geometric singularities for Hamilton-Jacobi equations
• The Cauchy problem for a nonlinear first order partial differential equation
• Formation of singularities for viscosity solutions of hamilton—jacobi equations in one space variable
• User’s guide to viscosity solutions of second order partial differential equations
• Wave front evolution and equivariant Morse lemma
• Formation of Shocks for a Single Conservation Law

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