Spectral Stability of the Dirichlet–Laplacian in Two-Connected Domains

Valerii Pchelintsev; Alexander Ukhlov

doi:10.1007/s10958-024-07148-3

Spectral Stability of the Dirichlet–Laplacian in Two-Connected Domains

Valerii Pchelintsev, Alexander Ukhlov

Department of Mathematics

Ben-Gurion University of the Negev

Research output: Contribution to journal › Article › peer-review

Abstract

We study spectral stability estimates for the Dirichlet eigenvalues of the Laplace operator in bounded two-connected planar domains. We propose a method based on the conformal analysis of elliptic operators. Owing to this method, it is possible to obtain spectral stability estimates in domains with nonrectifiable boundaries.

Original language	American English
Pages (from-to)	805-817
Number of pages	13
Journal	Journal of Mathematical Sciences
Volume	281
Issue number	5
DOIs	https://doi.org/10.1007/s10958-024-07148-3
State	Published - 1 Jun 2024

All Science Journal Classification (ASJC) codes

Statistics and Probability
General Mathematics
Applied Mathematics

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title = "Spectral Stability of the Dirichlet–Laplacian in Two-Connected Domains",

abstract = "We study spectral stability estimates for the Dirichlet eigenvalues of the Laplace operator in bounded two-connected planar domains. We propose a method based on the conformal analysis of elliptic operators. Owing to this method, it is possible to obtain spectral stability estimates in domains with nonrectifiable boundaries.",

author = "Valerii Pchelintsev and Alexander Ukhlov",

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N2 - We study spectral stability estimates for the Dirichlet eigenvalues of the Laplace operator in bounded two-connected planar domains. We propose a method based on the conformal analysis of elliptic operators. Owing to this method, it is possible to obtain spectral stability estimates in domains with nonrectifiable boundaries.

AB - We study spectral stability estimates for the Dirichlet eigenvalues of the Laplace operator in bounded two-connected planar domains. We propose a method based on the conformal analysis of elliptic operators. Owing to this method, it is possible to obtain spectral stability estimates in domains with nonrectifiable boundaries.

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M3 - Article

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JO - Journal of Mathematical Sciences

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Spectral Stability of the Dirichlet–Laplacian in Two-Connected Domains

Abstract

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