Semicontinuous solutions of Hamilton-Jacobi equations

DOI10.1016/0021-8928(88)90125-6zbMath0691.90098OpenAlexW2082133068MaRDI QIDQ583133

I. Rozyev, A. I. Subbotin

Publication date: 1988

Published in: Journal of Applied Mathematics and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8928(88)90125-6

zbMATH Keywords

Hamilton-Jacobi equationsBellman-Isaacs equationsfixed terminal timepairs of differential inequalitiessemicontinuous payoff functions

Mathematics Subject Classification ID

Differential games (aspects of game theory) (91A23) Positional games (pursuit and evasion, etc.) (91A24)

Related Items (6)

Existence and uniqueness results for Hamilton-Jacobi equations ⋮ Zero-sum state constrained differential games: Existence of value for Bolza problem ⋮ Andrei Izmailovich Subbotin (on the occasion of his 70th birthday) ⋮ Optimal times for constrained nonlinear control problems without local controllability ⋮ Nonsmooth semipermeable Barriers, Isaacs' equation, and application to a differential game with one target and two players ⋮ Some recent aspects of differential game theory

Cites Work

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• Generalization of the main equation of differential game theory
• An analog of the Bellman equation
• Viscosity solutions of Hamilton-Jacobi equations in infinite dimensions. VII: The HJB equation is not always satisfied
• 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

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