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arxiv: 1908.03255 · v1 · pith:QBH25B6Qnew · submitted 2019-08-08 · 🧮 math.CV · math.AP

Spectral Stability of the barpartial-Neumann Laplacian: the Kohn-Nirenberg elliptic regularization

classification 🧮 math.CV math.AP
keywords laplacianneumannstabilityelliptickohn-nirenbergpartialregularizationspectral
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In this paper we study spectral stability of the $\bar\partial$-Neumann Laplacian under the Kohn-Nirenberg elliptic regularization. We obtain quantitative estimates for stability of the spectrum of the $\bar\partial$-Neumann Laplacian when either the operator or the underlying domain is perturbed.

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