ON THE STRUCTURE OF THE SINGULAR SET OF A PIECEWISE SMOOTH MINIMAX SOLUTION OF THE HAMILTON–JACOBI–BELLMAN EQUATION

DOI10.15826/UMJ.2016.1.006zbMath1413.35133OpenAlexW2518502120MaRDI QIDQ4581428

Aleksei S. Rodin

Publication date: 17 August 2018

Published in: Ural Mathematical Journal (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/umj15

zbMATH Keywords

Hamilton-Jacobi-Bellman equationminimax solutionRankine-Hugoniot conditionsingular setpiecewise smooth solutiontangent subspace

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Nonlinear first-order PDEs (35F20)

Cites Work

• On the structure of locally Lipschitz minimax solutions of the Hamilton-Jacobi-Bellman equation in terms of classical characteristics
• Semiconcave functions, Hamilton-Jacobi equations, and optimal control
• Viscosity Solutions of Hamilton-Jacobi Equations
• Convex Analysis
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