On prescribed change of profile for solutions of parabolic equations

Details On prescribed change of profile for solutions of parabolic equations On prescribed change of profile for solutions of parabolic equations

2011-05-08

arxiv.org/abs/1105.1487v1

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

Mathematics

Analysis of PDEs

Scientific paper

10.1088/1751-8113/44/22/225204

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.

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