On prescribed change of profile for solutions of parabolic equations
Analysis of PDEs
2011-05-10 v1
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 L_2-setting. Existence and regularity results are established, as well as an analog of the maximum principle.
Keywords
Cite
@article{arxiv.1105.1487,
title = {On prescribed change of profile for solutions of parabolic equations},
author = {Nikolai Dokuchaev},
journal= {arXiv preprint arXiv:1105.1487},
year = {2011}
}