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.

中文翻译：

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$$ {\ overline {\ partial}} $$∂的谱稳定性-Neumann Laplacian：Kohn-Nirenberg椭圆正则化

在本文中，我们研究了Kohn–Nirenberg椭圆正则化条件下\（\ bar {\ partial} \）- Neumann Laplacian的光谱稳定性。当算子或基础域受到扰动时，我们获得\（\ bar {\ partial} \）- Neumann Laplacian谱的稳定性的定量估计。