Regularity conditions for solutions to some parabolic systems
Analysis of PDEs
2022-06-09 v1
Abstract
We investigate global and local regularity of generalized solutions to parabolic initial-boundary value problem for Petrovskii system of second order differential equations. Results are formulated in terms of the belonging of right-hand sides of the problem to some generalized Sobolev spaces. We also obtain new sufficient conditions under which the generalized solution should be classical.
Keywords
Cite
@article{arxiv.2206.03821,
title = {Regularity conditions for solutions to some parabolic systems},
author = {Oleksandr Diachenko and Valerii Los},
journal= {arXiv preprint arXiv:2206.03821},
year = {2022}
}
Comments
13 pages, in Ukrainian language