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The Lax solution to a Hamilton-Jacobi equation and its generalizations. II

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Publication:1412236
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DOI10.1016/j.na.2003.08.004zbMath1029.35215OpenAlexW1989656490MaRDI QIDQ1412236

D. L. Blackmore, Yaroslav Volodymyrovych Mykytyuk, Anatoliy K. Prykarpatsky

Publication date: 10 November 2003

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.2003.08.004


zbMATH Keywords

Hamilton-Jacobi equationLax formulaLebesgue measure\(F_{\sigma}\) setSemicontinuityViscosity solution


Mathematics Subject Classification ID

Hamilton-Jacobi equations in mechanics (70H20) Solutions to PDEs in closed form (35C05)


Related Items

Analysis of solutions of a noncanonical Hamilton-Jacobi equation using the generalized characteristics method and the Hopf-Lax representations ⋮ On nonexistence of global in time solution for a mixed problem for a nonlinear evolution equation with memory generalizing the Voigt-Kelvin rheological model



Cites Work

  • Estimates for generalized subsolutions of first order Hamilton-Jacobi equations and rearrangements
  • User’s guide to viscosity solutions of second order partial differential equations
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