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

Result code in IS VaVaI

RIV/61389005:_____/23:00578402 - isvavai.cz

Alternative codes found

RIV/61988987:17310/23:A2402LAH

Result on the web

https://doi.org/10.1007/s00009-023-02510-2

DOI - Digital Object Identifier

10.1007/s00009-023-02510-2

Result language

angličtina

Original language name

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

Original language description

In 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.

Czech name

—

Czech description

—

Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

—

OECD FORD branch

10102 - Applied mathematics

Project

GA21-07129S: New Effects from Time-Reversal Non-Invariance

Continuities

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2023

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Mediterranean Journal of Mathematics

ISSN

1660-5446

e-ISSN

1660-5454

Volume of the periodical

20

Issue of the periodical within the volume

6

Country of publishing house

CH - SWITZERLAND

Number of pages

18

Pages from-to

304

UT code for WoS article

001092951200001

EID of the result in the Scopus database

2-s2.0-85171829127