English

Front tracking and iterated minmax for Hamilton-Jacobi equation in one space variable

Analysis of PDEs 2013-03-15 v1 Dynamical Systems

Abstract

The viscosity solution of the Hamilton-Jacobi equation was constructed by an "iterated minimax" procedure. Using Dafermos' front tracking method, we give another proof of this construction in the case of Hamilton-Jacobi equations in one space dimension. This allows us to get a better understanding in this case of the singularities of the viscosity solution.

Keywords

Cite

@article{arxiv.1303.3232,
  title  = {Front tracking and iterated minmax for Hamilton-Jacobi equation in one space variable},
  author = {Qiaoling Wei},
  journal= {arXiv preprint arXiv:1303.3232},
  year   = {2013}
}

Comments

22 pages; 9 figures

R2 v1 2026-06-21T23:41:34.823Z