On prescribed change of profile for solutions of parabolicequations

Dokuchaev, Nikolai

doi:10.1088/1751-8113/44/22/225204

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Open access

Authors

Dokuchaev, Nikolai

Date

2011

Type

Journal Article

Metadata

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Citation

Dokuchaev, Nikolai. 2011. On prescribed change of profile for solutions of parabolic equations. Journal of Physics A: Mathematical and Theoretical. 44 (225204).

Source Title

Journal of Physics A: Mathematical and Theoretical

DOI

10.1088/1751-8113/44/22/225204

ISSN

17518113

School

Department of Mathematics and Statistics

Remarks

URI

http://hdl.handle.net/20.500.11937/46307

Collection

Curtin Research Publications

Abstract

Parabolic equations with homogeneous Dirichlet conditions on the boundary are studied in a setting where the solutions are required to have a prescribed change of the profile in fixed time, instead of a Cauchy condition. It is shown that this problem is well-posed in L2-setting. Existence and regularity results are established, as well as an analog of the maximum principle.