Spectral stability of Dirichlet second order uniformly elliptic operators

被引：34

作者：

Burenkov, Victor I. ^{[1
]}

Lamberti, Pier Domenico ^{[1
]}

机构：

[1] Univ Padua, Dipartimento Matemat Pura & Applicata, I-35121 Padua, Italy

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2008年 / 244卷 / 07期

基金：

俄罗斯基础研究基金会;

关键词：

elliptic equations; Dirichlet boundary conditions; stability of eigenvalues; sharp estimates; domain perturbation;

D O I：

10.1016/j.jde.2007.12.009

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove sharp stability results for the dependence of the eigenvalues of second order uniformly elliptic linear operators with homogeneous Dirichlet boundary conditions upon domain perturbation. (C) 2008 Elsevier Inc. All rights reserved.

引用

页码：1712 / 1740

页数：29

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