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arXiv · 1705.03931

Blowup versus global in time existence of solutions for nonlinear heat equations

Piotr Biler
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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.

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Piotr Biler. 2017-05-18. Blowup versus global in time existence of solutions for nonlinear heat equations. https://arxiv.org/abs/1705.03931

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