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

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Publication:413593
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DOI10.1016/j.na.2012.01.013zbMath1242.35096OpenAlexW2054483256MaRDI QIDQ413593

J. Herrera, H. S. Yoon

Publication date: 7 May 2012

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2012.01.013

zbMATH Keywords

Cauchy problemsemiconvexity


Mathematics Subject Classification ID

Viscosity solutions to PDEs (35D40) Hamilton-Jacobi equations (35F21)


Related Items

Layered viscosity solutions of nonautonomous Hamilton-Jacobi equations: semiconvexity and relations to characteristics



Cites Work

  • Unnamed Item
  • Unnamed Item
  • Semiconcave functions, Hamilton-Jacobi equations, and optimal control
  • Generalizing Hopf and Lax-Oleĭnik formulae via conjugate integral
  • On the explicit representation of global solutions of the Cauchy problem for Hamilton-Jacobi equations
  • 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
  • On Hopf's formula for lipschitz solutions of the cauchy problem for Hamilton-Jacobi equations
  • Convex Analysis
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