Spectral Stability of the ∂¯\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\overline{\partial }}$$\end{document}-Neumann Laplacian: The Kohn–Nirenberg Elliptic Regularization

被引：0

作者：

Siqi Fu

Chunhui Qiu

Weixia Zhu

机构：

[1] Rutgers University,Department of Mathematical Sciences

[2] Xiamen University,School of Mathematical Sciences

来源：

The Journal of Geometric Analysis | 2021年 / 31卷 / 4期

关键词：

The ; -Neumann Laplacian; The Kohn–Nirenberg elliptic regularization; Variational eigenvalue; Pseudoconvex domain; Finite type condition; 32W05; 32G05; 35J25; 35P15;

D O I：

10.1007/s12220-020-00421-2

中图分类号：

学科分类号：

摘要：

In this paper we study spectral stability of the ∂¯\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\bar{\partial }$$\end{document}-Neumann Laplacian under the Kohn–Nirenberg elliptic regularization. We obtain quantitative estimates for stability of the spectrum of the ∂¯\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\bar{\partial }$$\end{document}-Neumann Laplacian when either the operator or the underlying domain is perturbed.

引用

页码：3968 / 3987

页数：19

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