Spectral Convergence of the Laplace Operator with Robin Boundary Conditions on a Small Hole-Reference-Cited by-同舟云学术

Spectral Convergence of the Laplace Operator with Robin Boundary Conditions on a Small Hole

Published:2023-09-20 Issue:6 Volume:20 Page:
ISSN:1660-5446
Container-title:Mediterranean Journal of Mathematics
language:en
Short-container-title:Mediterr. J. Math.

Author:

Barseghyan Diana,Schneider Baruch

Abstract

AbstractIn this paper, we study a bounded domain with a small hole removed. Our main result concerns the spectrum of the Laplace operator with the Robin conditions imposed at the hole boundary. Moreover, we prove that under some suitable assumptions on the parameter in the boundary condition, the spectrum of the Laplacian converges in the Hausdorff distance sense to the spectrum of the Laplacian defined on the unperturbed domain.

Funder

Grantová Agentura České Republiky

University of Ostrava

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Link

https://link.springer.com/content/pdf/10.1007/s00009-023-02510-2.pdf

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