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arXiv · 1406.2776

Existence of Neumann and singular solutions of the fast diffusion equation

Kin Ming Hui·Sunghoon Kim
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Abstract

Let $\Omega$ be a smooth bounded domain in $\R^n$, $n\ge 3$, $0 0$. We will prove the existence of singular solutions of this equation in $\hat{\Omega}\times (0,T)$ for some $T>0$ that blow-up at the points $a_1,..., a_{i_0}$.

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Kin Ming Hui, Sunghoon Kim. 2014-06-11. Existence of Neumann and singular solutions of the fast diffusion equation. https://arxiv.org/abs/1406.2776

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