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

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61389005%3A_____%2F23%3A00578402" target="_blank" >RIV/61389005:_____/23:00578402 - isvavai.cz</a>
Alternative codes found
RIV/61988987:17310/23:A2402LAH
Result on the web
<a href="https://doi.org/10.1007/s00009-023-02510-2" target="_blank" >https://doi.org/10.1007/s00009-023-02510-2</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s00009-023-02510-2" target="_blank" >10.1007/s00009-023-02510-2</a>

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
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10102 - Applied mathematics

Project
<a href="/en/project/GA21-07129S" target="_blank" >GA21-07129S: New Effects from Time-Reversal Non-Invariance</a><br>
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

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