Existence and uniqueness of very singular solutions for a fast diffusion equation with gradient absorption
Analysis of PDEs
2013-08-29 v1
Abstract
Existence and uniqueness of radially symmetric self-similar very singular solutions are proved for the singular diffusion equation with gradient absorption {equation*} \partial_t u -\Delta_{p}u+|\nabla u|^q=0, \ \hbox{in} \ (0,\infty)\times\real^N, {equation*} where $2N/(N+1)
Cite
@article{arxiv.1107.1303,
title = {Existence and uniqueness of very singular solutions for a fast diffusion equation with gradient absorption},
author = {Razvan Gabriel Iagar and Philippe Laurencot},
journal= {arXiv preprint arXiv:1107.1303},
year = {2013}
}