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

2017/05/10 by Piotr Biler, Biler, Piotr
Engineering · Mathematics · #Stability and Controllability of Differential Equations #Nonlinear Partial Differential Equations #Advanced Mathematical Physics Problems

paper · pdf · doi:10.48550/arxiv.1705.03931

Abstract

This note is devoted to a simple proof of blowup of solutions for a nonlinear\nheat equation. The criterion for a blowup is expressed in terms of a Morrey\nspace norm and is in a sense complementary to conditions guaranteeing the\nglobal in time existence of solutions. The method goes back to H. Fujita and\nextends to other nonlinear parabolic equations.\n

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