Hopf-Lax formula and generalized characteristics

DOI10.1080/00036811.2015.1124422zbMath1362.35091arXiv1309.2547OpenAlexW2963811845MaRDI QIDQ2965799

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Publication date: 3 March 2017

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1309.2547

zbMATH Keywords

generalized characteristicssemiconcavitysemiconvexitystrip of differentiability

Mathematics Subject Classification ID

Convex functions and convex programs in convex geometry (52A41) Convexity properties of solutions to PDEs with constant coefficients (35E10) Viscosity solutions to PDEs (35D40) Hamilton-Jacobi equations (35F21)

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Characteristic curves for set-valued Hamilton-Jacobi equations ⋮ Regularity properties of viscosity solution of nonconvex Hamilton–Jacobi equations

Cites Work

• Lax type formulas with lower semicontinuous initial data and hypercontractivity results
• Uniformly convex and uniformly smooth convex functions
• Lax-Hopf formula and Max-Plus properties of solutions to Hamilton-Jacobi equations
• Hyperbolic systems of conservation laws II
• On Hopf's formulas for solutions of Hamilton-Jacobi equations
• Regularity of Hamilton-Jacobi equations when forward is backward