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Wiener's criterion for degenerate parabolic equations

Analysis of PDEs 2023-03-16 v1

Abstract

In this paper, we prove Wiener's criterion for parabolic equations with singular and degenerate coefficients. To be precise, we study the problem of the regularity of boundary points for the Dirichlet problem for degenerate parabolic equations, and give a geometric characterization of those boundary points that are regular.

Keywords

Cite

@article{arxiv.2303.08350,
  title  = {Wiener's criterion for degenerate parabolic equations},
  author = {Xi Hu and Lin Tang},
  journal= {arXiv preprint arXiv:2303.08350},
  year   = {2023}
}

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65pages