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Statements

Subject Item
n2:RIV%2F68407700%3A21340%2F14%3A00219284%21RIV15-MSM-21340___
rdf:type
n7:Vysledek skos:Concept
rdfs:seeAlso
http://arxiv.org/pdf/1312.7293v2.pdf
dcterms: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 the upper bound we get a two term asymptotics in terms of the coupling constant and the maximum of the boundary curvature. 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 the upper bound we get a two term asymptotics in terms of the coupling constant and the maximum of the boundary curvature.
dcterms:title
Asymptotic eigenvalue estimates for a Robin problem with a large parameter Asymptotic eigenvalue estimates for a Robin problem with a large parameter
skos:prefLabel
Asymptotic eigenvalue estimates for a Robin problem with a large parameter Asymptotic eigenvalue estimates for a Robin problem with a large parameter
skos:notation
RIV/68407700:21340/14:00219284!RIV15-MSM-21340___
n3:aktivita
n10:P n10:I
n3:aktivity
I, P(EE2.3.30.0034), P(GA14-06818S)
n3:cisloPeriodika
2
n3:dodaniDat
n18:2015
n3:domaciTvurceVysledku
Minakov, Oleksandr n13:3138097
n3:druhVysledku
n8:J
n3:duvernostUdaju
n15:S
n3:entitaPredkladatele
n14:predkladatel
n3:idSjednocenehoVysledku
4397
n3:idVysledku
RIV/68407700:21340/14:00219284
n3:jazykVysledku
n4:eng
n3:klicovaSlova
Laplacian; Robin problem; eigenvalue asymptotics
n3:klicoveSlovo
n5:Robin%20problem n5:Laplacian n5:eigenvalue%20asymptotics
n3:kodStatuVydavatele
CH - Švýcarská konfederace
n3:kontrolniKodProRIV
[0B81B401C81D]
n3:nazevZdroje
PORTUGALIAE MATHEMATICA
n3:obor
n16:BA
n3:pocetDomacichTvurcuVysledku
2
n3:pocetTvurcuVysledku
3
n3:projekt
n17:GA14-06818S n17:EE2.3.30.0034
n3:rokUplatneniVysledku
n18:2014
n3:svazekPeriodika
71
n3:tvurceVysledku
Parnovski, L. Minakov, Oleksandr Exner, Pavel
n3:wos
000339685600004
s:issn
0032-5155
s:numberOfPages
16
n20:doi
10.4171/PM/1945
n19:organizacniJednotka
21340