Regularity theory for parabolic systems with Uhlenbeck structure
Analysis of PDEs
2023-09-28 v2
Abstract
We establish local regularity theory for parabolic systems of Uhlenbeck type with -growth. In particular, we prove local boundedness of weak solutions and their gradient, and then local H\"older continuity of the gradients, providing suitable assumptions on the growth function . Our approach, being independent of the degeneracy of the system, allows for a unified treatment of both the degenerate and the singular case.
Cite
@article{arxiv.2302.05649,
title = {Regularity theory for parabolic systems with Uhlenbeck structure},
author = {Jihoon Ok and Giovanni Scilla and Bianca Stroffolini},
journal= {arXiv preprint arXiv:2302.05649},
year = {2023}
}