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arXiv · 2303.09386

Existence and regularity results for anisotropic parabolic equations with degenerate coercivity

Weilin Zou·Yuanchun Ren·Wei Wang
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Abstract

This paper deals with a class of nonlinear anisotropic parabolic equations with degenerate coercivity. Using the anisotropic Gagliardo-Nirenberg-type inequality, we prove some existence and regularity results for the solutions under the framework of anisotropic Sobolev spaces, which generalize the previous results of [10,18,23].

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Weilin Zou, Yuanchun Ren, Wei Wang. 2023-03-16. Existence and regularity results for anisotropic parabolic equations with degenerate coercivity. https://arxiv.org/abs/2303.09386

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