96 citations · 304 across the 18 of their papers we have counts for
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math.AP2017
Blowup versus global in time existence of solutions for nonlinear heat equations
Piotr 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 sen…
math.AP2017
Large global-in-time solutions to a nonlocal model of chemotaxis
Piotr Biler, Grzegorz Karch, Jacek Zienkiewicz
We consider the parabolic-elliptic model for the chemotaxis with fractional (anomalous) diffusion. Global-in-time solutions are constructed under (nearly) optimal assumptions on th…