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

Piotr Cezary Biler


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.


Nonlinear heat equation; blowup of solutions; global existence of solutions

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