A counterexample to uniqueness of generalized characteristics in Hamilton-Jacobi theory

DOI10.1016/J.NA.2010.12.029zbMath1211.35080OpenAlexW2093380224WikidataQ124831074 ScholiaQ124831074MaRDI QIDQ631751

Thomas Strömberg

Publication date: 14 March 2011

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.2010.12.029

zbMATH Keywords

forward generalized characteristics

Mathematics Subject Classification ID

Viscosity solutions to Hamilton-Jacobi equations in optimal control and differential games (49L25) Singularity in context of PDEs (35A21) Hamilton-Jacobi equations (35F21)

Related Items (3)

Propagation of singularities along broken characteristics ⋮ Excess action and broken characteristics for Hamilton-Jacobi equations ⋮ Local singular characteristics on \(\mathbb{R}^2\)

Cites Work

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• Semiconcave functions, Hamilton-Jacobi equations, and optimal control
• Singular dynamics for semiconcave functions
• Propagation of singularities for solutions of nonlinear first order partial differential 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
• Optimal control of diffusion processes and hamilton–jacobi–bellman equations part 2 : viscosity solutions and uniqueness

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