62 citations · 72 across the 7 of their papers we have counts for
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math.AP2018
Around a singular solution of a nonlocal nonlinear heat equation
Piotr Biler, Dominika Pilarczyk
We study the existence of global-in-time solutions for a nonlinear heat equation with nonlocal diffusion, power nonlinearity and suitably small data (either compared pointwisely to…
math.AP2018
Global radial solutions in classical Keller-Segel model of chemotaxis
Piotr Biler, Grzegorz Karch, Dominika Pilarczyk
We consider the simplest parabolic-elliptic model of chemotaxis in the whole space in several dimensions. Criteria for the existence of radial global-in-time solutions in terms of…