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Spectral Stability of the $\bar\partial-$Neumann Laplacian: the Kohn-Nirenberg elliptic regularization

Complex Variables 2019-08-12 v1 Analysis of PDEs

Abstract

In this paper we study spectral stability of the ˉ\bar\partial-Neumann Laplacian under the Kohn-Nirenberg elliptic regularization. We obtain quantitative estimates for stability of the spectrum of the ˉ\bar\partial-Neumann Laplacian when either the operator or the underlying domain is perturbed.

Keywords

Cite

@article{arxiv.1908.03255,
  title  = {Spectral Stability of the $\bar\partial-$Neumann Laplacian: the Kohn-Nirenberg elliptic regularization},
  author = {Siqi Fu and Chunhui Qiu and Weixia Zhu},
  journal= {arXiv preprint arXiv:1908.03255},
  year   = {2019}
}

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16 pages