Regularization of the Cauchy Problem for the Heat Equation by Norm Bounds

Knabner P (1984)

Publication Language: English

Publication Type: Book chapter / Article in edited volumes

Publication year: 1984

Publisher: Gordon and Breach Science Publishers, Inc.

Edited Volumes: Applicable Analysis

City/Town: London

Book Volume: 17

Pages Range: 295-311

URI: https://www1.am.uni-erlangen.de/research/publications/Jahr_1984/1984_Kn_RegularizOfTheCauchyProblForTheHeatEquatByNormBounds

DOI: 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.

Authors with CRIS profile

Peter Knabner Lehrstuhl für Angewandte Mathematik (Modellierung und Numerik)

How to cite

APA:

Knabner, P. (1984). Regularization of the Cauchy Problem for the Heat Equation by Norm Bounds. In Applicable Analysis. (pp. 295-311). London: Gordon and Breach Science Publishers, Inc..

MLA:

Knabner, Peter. "Regularization of the Cauchy Problem for the Heat Equation by Norm Bounds." Applicable Analysis. London: Gordon and Breach Science Publishers, Inc., 1984. 295-311.

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