Boundary regularity for parabolic systems in convex domains
Analysis of PDEs
2021-10-19 v1
Abstract
In a cylindrical space-time domain with a convex, spatial base, we establish a local Lipschitz estimate for weak solutions to parabolic systems with Uhlenbeck structure up to the lateral boundary, provided homogeneous Dirichlet data are assumed on that part of the lateral boundary.
Keywords
Cite
@article{arxiv.2110.09407,
title = {Boundary regularity for parabolic systems in convex domains},
author = {Verena Bögelein and Frank Duzaar and Naian Liao and Christoph Scheven},
journal= {arXiv preprint arXiv:2110.09407},
year = {2021}
}