Description

• Title:
  On representation formulas for Hamilton Jacobi's equations related to calculus of variations problems
• Creator:
  Plaskacz, Sławomir;
  Quincampoix, Marc
• Description:
  In this paper, existence and uniqueness of generalized solutions of some first order Hamilton Jacobi equations are proved. This task is accomplished by showing that the value function for a certain problem of the calculus of variations is the unique solution of the PDE. This can be viewed as a representation formula of the solution.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2016 Topological Methods in Nonlinear Analysis
• Date:
  2002.09.01
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 20, No 1 (September 2002); 85 - 118;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2002.027/9639
• Subject:
  Calculus of variations;
  viability theory;
  discontinuous viscosity solutions;
  uniqueness for Hamilton Jacobi's equations;
  49J15;
  49L25;
  49J24;
  34A60;
  35D05
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2002.027
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other