Regularization of the cauchy problem for the heat equation by norm bounds
- 1 January 1984
- journal article
- research article
- Published by Taylor & Francis in Applicable Analysis
- Vol. 17 (4) , 295-311
- https://doi.org/10.1080/00036818408839503
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.Keywords
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