Blowup versus global in time existence of solutions for nonlinear heat equations
Analysis of PDEs
2017-05-19 v2
Abstract
This note is devoted to a simple proof of blowup of solutions for a nonlinear heat equation. The criterion for a blowup is expressed in terms of a Morrey space norm and is in a sense complementary to conditions guaranteeing the global in time existence of solutions. The method goes back to H. Fujita and extends to other nonlinear parabolic equations.
Keywords
Cite
@article{arxiv.1705.03931,
title = {Blowup versus global in time existence of solutions for nonlinear heat equations},
author = {Piotr Biler},
journal= {arXiv preprint arXiv:1705.03931},
year = {2017}
}