Publication Cover
Applicable Analysis
An International Journal
Volume 17, 1984 - Issue 4
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Original Articles

Regularization of the cauchy problem for the heat equation by norm bounds

Pages 295-311 | Published online: 02 May 2007
 

Abstract

We consider the non-characteristic Cauchy problem for the heat equation in a non-cylindrical domain. We impose norm bounds on the unknown boundary flux and study the amount of regularization by estimating the module of continuity. In addition to interior Hölder estimates for temperature and gradient we also get uniform estimates of logarithmic type.

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