Generalizing Hopf and Lax-Oleĭnik formulae via conjugate integral

DOI10.1007/BF01319044zbMath0895.49016OpenAlexW2008979283MaRDI QIDQ1376013

Dmitry Silin

Publication date: 18 August 1998

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/178795

zbMATH Keywords

viscosity solutionconvex functionHopf formulaHamilton--Jacobi equationFenchel conjugate transformLax-Oleĭnik formula

Mathematics Subject Classification ID

Set-valued set functions and measures; integration of set-valued functions; measurable selections (28B20) Viscosity solutions to Hamilton-Jacobi equations in optimal control and differential games (49L25)

Related Items

Hopf-type formula defines viscosity solution for Hamilton-Jacobi equations with \(t\)-dependence Hamiltonian

Cites Work

• Hyperbolic systems of conservation laws II
• Some Properties of Viscosity Solutions of Hamilton-Jacobi Equations
• On Hopf's formulas for solutions of Hamilton-Jacobi equations
• Hopf Formula and Multitime Hamilton-Jacobi Equations
• Viscosity Solutions of Hamilton-Jacobi Equations
• Viscosity solutions via unbounded set-valued integration
• GENERALIZED SOLUTIONS OF NONLINEAR FIRST ORDER EQUATIONS WITH SEVERAL INDEPENDENT VARIABLES. II
• Convex Analysis
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