Hopf-Lax formula and generalized characteristics

Nguyen Hoang

Hopf-Lax formula and generalized characteristics

Analysis of PDEs 2013-12-19 v2

Authors: Nguyen Hoang

Abstract

We study some differential properties of viscosity solution for Hamilton - Jacobi equations defined by Hopf-Lax formula $u(t,x)=\min_{y\in \R^n} \big\{\sigma (y)+tH^*\big (\frac {x-y}{t}\big)\big \}.$ A generalized form of characteristics of the Cauchy problems is taken into account the context. Then we examine the strip of differentiability of the viscosity solution given by the function $u(t,x).$

Keywords

hamilton-jacobi equations

Cite

@article{arxiv.1309.2547,
  title  = {Hopf-Lax formula and generalized characteristics},
  author = {Nguyen Hoang},
  journal= {arXiv preprint arXiv:1309.2547},
  year   = {2013}
}

Comments

15 pages. arXiv admin note: text overlap with arXiv:1208.3288

Related papers

View all related →