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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Another proof for the removable singularities of the heat equation


Author: Kin Ming Hui
Journal: Proc. Amer. Math. Soc. 138 (2010), 2397-2402
MSC (2010): Primary 35B65; Secondary 35K05
Published electronically: February 18, 2010
MathSciNet review: 2607869
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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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Additional Information

Kin Ming Hui
Affiliation: Institute of Mathematics, Academia Sinica, Nankang, Taipei, 11529, Taiwan, Republic of China

DOI: http://dx.doi.org/10.1090/S0002-9939-10-10352-9
PII: S 0002-9939(10)10352-9
Keywords: Removable singularities, heat equation
Received by editor(s): September 1, 2009
Received by editor(s) in revised form: September 2, 2009
Published electronically: February 18, 2010
Communicated by: Yingfei Yi
Article copyright: © Copyright 2010 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.