Geometric restrictions for the existence of viscosity solutions

DOI10.1016/S0294-1449(99)80012-2zbMath0927.35021MaRDI QIDQ1284419

Nicolas Georgy, Bernard Dacorogna, Pierre Cardaliaguet, Wilfrid Gangbo

Publication date: 13 December 1999

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIHPC_1999__16_2_189_0

zbMATH Keywords

Hamilton-Jacobi equation

Mathematics Subject Classification ID

Viscosity solutions to Hamilton-Jacobi equations in optimal control and differential games (49L25) Boundary value problems for nonlinear first-order PDEs (35F30)

Related Items

Viscosity solutions, almost everywhere solutions and explicit formulas ⋮ Variational methods for the selection of solutions to an implicit system of PDE ⋮ On \(W^{1,p}\)-solvability for special vectorial Hamilton--Jacobi systems. ⋮ Optimal existence theorems for nonhomogeneous differential inclusions ⋮ On minima of a functional of the gradient: upper and lower solutions ⋮ On viscosity solutions of Hamilton-Jacobi equations ⋮ Calculus of variations, implicit partial differential equations and microstructure ⋮ Geometric constraints on the domain for a class of minimum problems ⋮ A selection criterion of solutions to a system of eikonal equations

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