English

Asymptotic behavior for a singular diffusion equation with gradient absorption

Analysis of PDEs 2014-02-17 v1

Abstract

We study the large time behavior of non-negative solutions to the singular diffusion equation with gradient absorption tuΔpu+uq=0in (0,)×N, \partial_t u-\Delta_{p}u+|\nabla u|^q=0 \quad \hbox{in} \ (0,\infty)\times\real^N, for $p_c:=2N/(N+1)

Keywords

Cite

@article{arxiv.1301.5984,
  title  = {Asymptotic behavior for a singular diffusion equation with gradient absorption},
  author = {Razvan Gabriel Iagar and Philippe Laurencot},
  journal= {arXiv preprint arXiv:1301.5984},
  year   = {2014}
}
R2 v1 2026-06-21T23:15:10.212Z