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Local regularity theorems for the stationary thermistor problem

Published online by Cambridge University Press:  12 July 2007

Xiangsheng Xu
Xiangsheng Xu
Affiliation:
Department of Mathematics and Statistics, Mississippi State University, Mississippi State, MS 39762, USA
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Abstract

In this paper we present a simpler proof of a result of Lewis concerning the continuity of weak solutions to the two-dimensional thermistor problem in the case where the temperature can blow up in a region with non-empty interior. Some other regularity properties are also discussed.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 134 , Issue 4 , August 2004 , pp. 773 - 782
Copyright
Copyright © Royal Society of Edinburgh 2004

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