Asymptotic eigenvalue estimates for a Robin problem with a large parameter

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F14%3A00219284" target="_blank" >RIV/68407700:21340/14:00219284 - isvavai.cz</a>

Alternative codes found

RIV/61389005:_____/14:00433189

Result on the web

<a href="http://arxiv.org/pdf/1312.7293v2.pdf" target="_blank" >http://arxiv.org/pdf/1312.7293v2.pdf</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.4171/PM/1945" target="_blank" >10.4171/PM/1945</a>

Result language

angličtina

Original language name

Asymptotic eigenvalue estimates for a Robin problem with a large parameter

Original language description

Robin problem for the Laplacian in a bounded planar domain with a smooth boundary and a large parameter in the boundary condition is considered. We prove a two-sided three-term asymptotic estimate for the negative eigenvalues. Furthermore, improving theupper bound we get a two term asymptotics in terms of the coupling constant and the maximum of the boundary curvature.

Czech name

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BA - General mathematics

OECD FORD branch

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Project

Result was created during the realization of more than one project. More information in the Projects tab.

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year

2014

Confidentiality

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

Name of the periodical

PORTUGALIAE MATHEMATICA

ISSN

0032-5155

e-ISSN

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Volume of the periodical

71

Issue of the periodical within the volume

2

Country of publishing house

CH - SWITZERLAND

Number of pages

16

Pages from-to

141-156

UT code for WoS article

000339685600004

EID of the result in the Scopus database

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