Hamilton-Jacobi equations related with differential games with supremum cost.

DOI10.1016/j.crma.2007.05.002zbMath1170.49026OpenAlexW1987206240MaRDI QIDQ997964

Oana-Silvia Serea

Publication date: 10 August 2007

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2007.05.002

zbMATH Keywords

differential gamescontrol problemsPDE with nonconcave and discontinuous Hamiltonians

Mathematics Subject Classification ID

Differential games and control (49N70) Differential games (aspects of game theory) (91A23) Viscosity solutions to Hamilton-Jacobi equations in optimal control and differential games (49L25)

Cites Work

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• Viscosity solutions of Hamilton-Jacobi equations
• Discontinuous differential games and control systems with supremum cost
• Semicontinuous solutions for Hamilton-Jacobi equations and the \(L^ \infty\)-control problem
• Value-functions for Differential Games and Control Systems with Discontinuous Terminal Cost
• The Bellman equation for minimizing the maximum cost
• Semicontinuous Viscosity Solutions For Hamilton–Jacobi Equations With Convex Hamiltonians
• Differential games with maximum cost
• Discontinuous solutions of deterministic optimal stopping time problems
• Lower Semicontinuous Solutions of Hamilton–Jacobi–Bellman Equations
• The existence of value in differential games
• Optimal control and viscosity solutions of Hamilton-Jacobi-Bellman equations

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