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arXiv · 2403.01741

On regularity for nonhomogeneous parabolic systems with a skew-symmetric part in BMO

Guoming Zhang
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Abstract

In this paper we investigate the improved Caccioppoli inequality and the reverse Hölder 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 G$\mathring{a}$rding inequality, and a real and anti-symmetric part in BMO. In particular, unbounded coefficients are allowed.

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Guoming Zhang. 2025-02-28. On regularity for nonhomogeneous parabolic systems with a skew-symmetric part in BMO. https://arxiv.org/abs/2403.01741

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