On viscosity solutions of Hamilton-Jacobi equations

DOI10.1090/S0002-9947-08-04557-1zbMath1154.49021MaRDI QIDQ3600628

Sandro Zagatti

Publication date: 5 February 2009

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Dirichlet problemHamilton-Jacobi equationsLipschitz continuous maximal viscosity solutions

Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) Existence theories for optimal control problems involving partial differential equations (49J20) Viscosity solutions to Hamilton-Jacobi equations in optimal control and differential games (49L25)

Related Items (5)

Maximal generalized solutions of Hamilton-Jacobi equations ⋮ Solutions of vectorial Hamilton-Jacobi equations and minimizers of nonquasiconvex functionals ⋮ Viscosity solutions of stationary Hamilton-Jacobi equations and minimizers of $L^{\infty }$ functionals ⋮ Maximal generalized solution of eikonal equation ⋮ A necessary and sufficient condition for strong convergence in Sobolev spaces

Cites Work

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• Hamilton-Jacobi Equations with State Constraints
• Maximal subsolutions for a class of degenerate Hamilton-Jacobi problems
• Viscosity solutions, almost everywhere solutions and explicit formulas
• On the Minimum Problem for Nonconvex Scalar Functionals
• Optimal control and viscosity solutions of Hamilton-Jacobi-Bellman equations

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