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arXiv · 1605.07394

Uniqueness of singular self-similar solutions of a semilinear parabolic equation

Pavol Quittner
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Abstract

We study the uniqueness of singular radial (forward and backward) self-similar positive solutions of the equation $u_t-Δu = u^p, \quad x\in{\mathbb R}^n,\ t>0,$ where $p\geq(n+2)/(n-2)_+$.

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Pavol Quittner. 2016-05-24. Uniqueness of singular self-similar solutions of a semilinear parabolic equation. https://arxiv.org/abs/1605.07394

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