arXiv:1105.1487 Abstract | arXiv Analytics

arXiv:1105.1487 [math.AP]Abstract References Reviews Resources

On prescribed change of profile for solutions of parabolic equations

Published 2011-05-08Version 1

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 L_2-setting. Existence and regularity results are established, as well as an analog of the maximum principle.

Journal: Journal of Physics A: Mathematical and Theoretical. May 2011 (44) 225204

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

Categories: math.AP

Subjects: 35K20, 35Q99, 32A35

Keywords: parabolic equations, prescribed change, maximum principle, cauchy condition, regularity results

Tags: journal article

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