Formula for a solution of \(u_t+H (u,Du)=g\)

DOI10.1007/BF02829534zbMath0967.35027OpenAlexW2032177851MaRDI QIDQ1592950

G. D. Veerappa Gowda, Adimurthi

Publication date: 30 August 2001

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02829534

zbMATH Keywords

formula for discontinuous viscosity solutions

Mathematics Subject Classification ID

Viscosity solutions to Hamilton-Jacobi equations in optimal control and differential games (49L25) Initial value problems for linear first-order PDEs (35F10)

Related Items (1)

Neumann boundary condition for a non-autonomous Hamilton-Jacobi equation in a quarter plane

Cites Work

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• Calculus of variations in \(L^ \infty\)
• Viscosity solutions of Isaacs' equations and differential games with Lipschitz controls
• Perron's method for Hamilton-Jacobi equations
• Hopf-Lax-type formula for \(u_ t+ H(u, Du)=0\)
• The Bellman equation for minimizing the maximum cost
• Discontinuous solutions of deterministic optimal stopping time problems
• Hopf-Lax type formula for sub- and supersolutions

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