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.
Citation
Piotr Biler. "Blowup versus global in time existence of solutions for nonlinear heat equations." Topol. Methods Nonlinear Anal. 52 (1) 147 - 160, 2018. https://doi.org/10.12775/TMNA.2018.013