Regularity and variationality of solutions to Hamilton-Jacobi equations. II: Variationality, existence, uniqueness

DOI10.1007/s00245-010-9116-7zbMath1216.49025OpenAlexW2076329050MaRDI QIDQ535334

Andrea C. G. Mennucci

Publication date: 11 May 2011

Published in: Applied Mathematics and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00245-010-9116-7

zbMATH Keywords

Hamilton-Jacobi equationviscosity solutionHopf-Rinow theoremFinsler metricKuratowski convergenceuniqueness of solutiondifferentiable manifoldasymmetric metric spacebackward completeness

Mathematics Subject Classification ID

Variational problems in a geometric measure-theoretic setting (49Q20) Regularity of solutions in optimal control (49N60) Viscosity solutions to Hamilton-Jacobi equations in optimal control and differential games (49L25)

Related Items (6)

Detecting the completeness of a Finsler manifold via potential theory for its infinity Laplacian ⋮ Geodesics in asymmetric metric spaces ⋮ Almost isometries of non-reversible metrics with applications to stationary spacetimes ⋮ Unnamed Item ⋮ Regularity and variationality of solutions to Hamilton-Jacobi equations. Part I: Regularity ⋮ A uniqueness property for analytic functions on metric measure spaces

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