On shock generation for Hamilton-Jacobi equations

DOI10.1016/S0019-3577(09)80029-3zbMath1217.49027MaRDI QIDQ633043

Thomas Strömberg

Publication date: 31 March 2011

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

zbMATH Keywords

Hamilton-Jacobi equationconservation lawconjugate pointshock generation point

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Regularity of solutions in optimal control (49N60) Viscosity solutions to Hamilton-Jacobi equations in optimal control and differential games (49L25) Hamilton-Jacobi equations (35F21)

Related Items (2)

Almost all points on the real axis can be original points of shock waves ⋮ Propagation of Singularities in Nonconvex Hamilton--Jacobi Problems: Local Structure in Two Dimensions

Cites Work

• Semiconcave functions, Hamilton-Jacobi equations, and optimal control
• A note on the differentiability of conjugate functions
• Existence of \(C^{\infty}\) local solutions for the Monge-Ampère equation
• Regularity results for solutions of a class of Hamilton-Jacobi equations
• Hamilton-Jacobi equations having only action functions as solutions
• The Hopf-Lax formula gives the unique viscosity solution
• On viscosity solutions of the Hamilton-Jacobi equation
• Hyperbolic systems of conservation laws II
• Scalar conservation laws and Hamilton-Jacobi equations in one-space variable
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