English

A new contraction family for porous medium and fast diffusion equation

Analysis of PDEs 2014-07-15 v2

Abstract

In this paper, we present a surprising two-dimensional contraction family for porous medium and fast diffusion equations. This approach provides new a priori estimates on the solutions, even for the standard heat equation.

Keywords

Cite

@article{arxiv.1406.6588,
  title  = {A new contraction family for porous medium and fast diffusion equation},
  author = {Ghada Chmaycem and Régis Monneau and Mustapha Jazar},
  journal= {arXiv preprint arXiv:1406.6588},
  year   = {2014}
}