Optimizing the Ground-State Energy of a Robin Laplacian: Asymptotic Behavior

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61389005%3A_____%2F25%3A00638470" target="_blank" >RIV/61389005:_____/25:00638470 - isvavai.cz</a>

Result on the web

<a href="https://epubs.siam.org/doi/10.1137/24M1687091" target="_blank" >https://epubs.siam.org/doi/10.1137/24M1687091</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1137/24M1687091" target="_blank" >10.1137/24M1687091</a>

Result language

angličtina

Original language name

Optimizing the Ground-State Energy of a Robin Laplacian: Asymptotic Behavior

Original language description

In this paper we consider achieving the largest principle eigenvalue of a Robin Laplacian on a bounded domain Ω by optimizing the Robin parameter function under an integral constraint. The main novelty of our approach lies in establishing a close relation between the problem under consideration and the asymptotic behavior of the Dirichlet heat content of Ω. By using this relation, we deduce a two-term asymptotic expansion of the principle eigenvalue and discuss several applications.

Czech name

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Czech description

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Type

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

CEP classification

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OECD FORD branch

10102 - Applied mathematics

Project

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Continuities

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2025

Confidentiality

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

Name of the periodical

SIAM Journal on Mathematical Analysis

ISSN

0036-1410

e-ISSN

1095-7154

Volume of the periodical

57

Issue of the periodical within the volume

4

Country of publishing house

US - UNITED STATES

Number of pages

11

Pages from-to

4264-4274

UT code for WoS article

001550830900025

EID of the result in the Scopus database

2-s2.0-105014184857