Symmetry properties of solutions of Hamilton-Jacobi equations without uniqueness

DOI10.1016/0362-546X(90)90151-6zbMath0736.35020OpenAlexW2056727649MaRDI QIDQ3970936

Martino Bardi, Marino Badiale

Publication date: 25 June 1992

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(90)90151-6

zbMATH Keywords

symmetryHamilton-Jacobi equationviscosity solutioncomparison principles

Mathematics Subject Classification ID

Nonlinear first-order PDEs (35F20) Hamilton-Jacobi equations in mechanics (70H20) Viscosity solutions to Hamilton-Jacobi equations in optimal control and differential games (49L25)

Related Items (3)

Nonlinear \(H_{\infty}\)-control and estimation of optimal \(H_{\infty}\)-gain ⋮ Agmon metric for sum-of-squares operators. ⋮ Symmetry results for viscosity solutions of fully nonlinear uniformly elliptic equations

Cites Work

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• Monotonicity, symmetry and antisymmetry of solutions of semilinear elliptic equations
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• Asymptotic behavior of some nonlinear heat equations
• Rearrangements and convexity of level sets in PDE
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• A PDE approach to some asymptotic problems concerning random differential equations with small noise intensities
• Uniqueness of viscosity solutions of Hamilton-Jacobi equations revisited
• Symmetry and related properties via the maximum principle
• Some Properties of Viscosity Solutions of Hamilton-Jacobi Equations
• Hamilton-Jacobi Equations With Singular Boundary Conditions on a free Boundary and Applications to Differential Games
• Viscosity Solutions of Hamilton-Jacobi Equations
• A Simple, Direct Proof of Uniqueness for Solutions of the Hamilton-Jacobi Equations of Eikonal Type
• A Regularity Result for Viscosity Solutions of Hamilton-Jacobi Equations in One Space Dimensions
• A Boundary Value Problem for the Minimum-Time Function

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