On regularity for nonhomogeneous parabolic systems with a skew-symmetric part in BMO
Analysis of PDEs
2025-03-03 v5
Abstract
In this paper we investigate the improved Caccioppoli inequality and the reverse H\"{o}lder inequality for gradients of weak solutions to nonhomogeneous parabolic systems whose coefficients can be split into a complex-valued and bounded part, which also satisfies the uniform Grding inequality, and a real and anti-symmetric part in BMO. In particular, unbounded coefficients are allowed.
Keywords
Cite
@article{arxiv.2403.01741,
title = {On regularity for nonhomogeneous parabolic systems with a skew-symmetric part in BMO},
author = {Guoming Zhang},
journal= {arXiv preprint arXiv:2403.01741},
year = {2025}
}