English

Existence and uniqueness of solution for semi linear conservation laws with velocity field in $L^\infty$

Analysis of PDEs 2020-08-27 v1

Abstract

In this paper we extend results obtained in [3] and [5]. By considering a semi linear conservation law with velocity in LL^\infty, we prove by fixed point arguments existence and uniqueness result and even in a penalized situation.

Keywords

Cite

@article{arxiv.2008.11233,
  title  = {Existence and uniqueness of solution for semi linear conservation laws with velocity field in $L^\infty$},
  author = {S. Kane and S. F. Samb and D. Seck},
  journal= {arXiv preprint arXiv:2008.11233},
  year   = {2020}
}