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

2019/08/08 by Siqi Fu, Fu, Siqi, Chunhui Qiu +3
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Nonlinear Partial Differential Equations #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.1908.03255

Abstract

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

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