Another proof for the removable singularities of the heat equation

Hui, Kin Ming

doi:10.1090/S0002-9939-10-10352-9

Another proof for the removable singularities of the heat equation
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by Kin Ming Hui PDF

Proc. Amer. Math. Soc. 138 (2010), 2397-2402 Request permission

Abstract:

We give two different simple proofs for the removable singularities of the heat equation in $(\Omega \setminus \{x_0\})\times (0,T)$, where $x_0\in \Omega \subset \mathbb {R}^n$ is a bounded domain with $n\ge 3$. We also give a necessary and sufficient condition for removable singularities of the heat equation in $(\Omega \setminus \{x_0\})\times (0,T)$ for the case $n=2$.

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