Blowup of solutions for nonlinear nonlocal heat equations

Abstract

Blowup analysis for solutions of a general evolution equation with nonlocal diffusion and localized source is performed. By comparison with recent results on global-in-time solutions, a dichotomy result is obtained.

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References in corpus (2)

• Morrey spaces and classification of global solutions for a supercritical semilinear heat equation in $R^n$
• Global solutions for a supercritical drift-diffusion equation