English

Existence and regularity results for anisotropic parabolic equations with degenerate coercivity

Analysis of PDEs 2023-03-17 v1

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].

Keywords

Cite

@article{arxiv.2303.09386,
  title  = {Existence and regularity results for anisotropic parabolic equations with degenerate coercivity},
  author = {Weilin Zou and Yuanchun Ren and Wei Wang},
  journal= {arXiv preprint arXiv:2303.09386},
  year   = {2023}
}

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28 pages