Sufficient Conditions for the Existence of Viscosity Solutions for Nonconvex Hamiltonians

DOI10.1137/S0036141003426902zbMath1075.49013MaRDI QIDQ4652467

Giovanni Pisante

Publication date: 28 February 2005

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

zbMATH Keywords

Hamilton-Jacobi equationviscosity solutiongeometric conditioncontingent normal directioncontingent superdifferential

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Hamilton-Jacobi equations in mechanics (70H20) Viscosity solutions to Hamilton-Jacobi equations in optimal control and differential games (49L25)

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\(\mathcal{D}\)-solutions to the system of vectorial calculus of variations in \(L^\infty\) via the singular value problem ⋮ Variational methods for the selection of solutions to an implicit system of PDE ⋮ Existence results for elliptic problems with gradient terms via a priori estimates ⋮ The distance function from the boundary in a Minkowski space ⋮ A selection criterion of solutions to a system of eikonal equations

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