A condition for generalized solutions of a parabolic problem for a Petrovskii system to be classical
Analysis of PDEs
2020-06-02 v1
Abstract
We obtain a new sufficient condition under which generalized solutions to a parabolic initial-boundary-value problem for a Petrovskii system and the homogeneous Cauchy data are classical. The condition is formulated in terms of the belonging of the right-hand sides of the problem to some anisotropic H\"ormander spaces.
Keywords
Cite
@article{arxiv.2006.00553,
title = {A condition for generalized solutions of a parabolic problem for a Petrovskii system to be classical},
author = {Valerii Los},
journal= {arXiv preprint arXiv:2006.00553},
year = {2020}
}
Comments
8 pages