Differential games and nonlinear first order PDE on bounded domains

DOI10.1007/BF01168747zbMath0559.35013OpenAlexW1976610171MaRDI QIDQ2266162

Yanyan Li

Publication date: 1984

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/155038

zbMATH Keywords

differential gamesexistenceviscosity solutionscontrol problemfully nonlinear first order partial differential equationinfinitesimal dynamic programming principle

Mathematics Subject Classification ID

Related Items (15)

Almost continuous solutions of geometric Hamilton--Jacobi equations ⋮ Neumann type boundary conditions for Hamilton-Jacobi equations ⋮ A PDE approach to some asymptotic problems concerning random differential equations with small noise intensities ⋮ Metric character of Hamilton–Jacobi equations ⋮ Generalized viscosity solutions for Hamilton-Jacobi equations with time- measurable Hamiltonians ⋮ Hamilton-Jacobi Equations With Singular Boundary Conditions on a free Boundary and Applications to Differential Games ⋮ Zero-sum path-dependent stochastic differential games in weak formulation ⋮ Regularity for a special case of two-phase Hele-Shaw flow via parabolic integro-differential equations ⋮ Perron's method for Hamilton-Jacobi equations ⋮ On ergodic problem for Hamilton-Jacobi-Isaacs equations ⋮ Objective function design for robust optimality of linear control under state-constraints and uncertainty ⋮ NUMERICAL METHODS FOR DIFFERENTIAL GAMES BASED ON PARTIAL DIFFERENTIAL EQUATIONS ⋮ Unnamed Item ⋮ Representation of solutions of Hamilton-Jacobi equations ⋮ Min-max formulas for nonlocal elliptic operators

Cites Work

• Viscosity solutions of Isaacs' equations and differential games with Lipschitz controls
• Existence results for first-order Hamilton-Jacobi equations
• Boundary value problems for nonlinear partial differential operators
• Existence of viscosity solutions of Hamilton-Jacobi equations
• Some Properties of Viscosity Solutions of Hamilton-Jacobi Equations
• Optimization and nonsmooth analysis
• Optimal Switching for Ordinary Differential Equations
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