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arXiv · 1807.03567

Around a singular solution of a nonlocal nonlinear heat equation

Piotr Biler·Dominika Pilarczyk
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Abstract

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 the singular solution or in the norm of a critical Morrey space). Then, asymptotics of subcritical solutions is determined. These results are compared with conditions on the initial data leading to a finite time blowup.

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Piotr Biler, Dominika Pilarczyk. 2018-07-10. Around a singular solution of a nonlocal nonlinear heat equation. https://arxiv.org/abs/1807.03567

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