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Statements

Subject Item
n2:RIV%2F61389005%3A_____%2F11%3A00367928%21RIV13-AV0-61389005
rdf:type
n8:Vysledek skos:Concept
dcterms:description
We consider the heat equation in a straight strip, subject to a combination of Dirichlet and Neumann boundary conditions. We show that a switch of the respective boundary conditions leads to an improvement of the decay rate of the heat semigroup of the order of t(-1/2). The proof employs similarity variables that lead to a non-autonomous parabolic equation in a thin strip contracting to the real line, that can be analysed on weighted Sobolev spaces in which the operators under consideration have discrete spectra. We consider the heat equation in a straight strip, subject to a combination of Dirichlet and Neumann boundary conditions. We show that a switch of the respective boundary conditions leads to an improvement of the decay rate of the heat semigroup of the order of t(-1/2). The proof employs similarity variables that lead to a non-autonomous parabolic equation in a thin strip contracting to the real line, that can be analysed on weighted Sobolev spaces in which the operators under consideration have discrete spectra.
dcterms:title
The asymptotic behaviour of the heat equation in a twisted Dirichlet-Neumann waveguide The asymptotic behaviour of the heat equation in a twisted Dirichlet-Neumann waveguide
skos:prefLabel
The asymptotic behaviour of the heat equation in a twisted Dirichlet-Neumann waveguide The asymptotic behaviour of the heat equation in a twisted Dirichlet-Neumann waveguide
skos:notation
RIV/61389005:_____/11:00367928!RIV13-AV0-61389005
n8:predkladatel
n9:ico%3A61389005
n3:aktivita
n11:Z n11:P
n3:aktivity
P(LC06002), Z(AV0Z10480505)
n3:cisloPeriodika
5
n3:dodaniDat
n14:2013
n3:domaciTvurceVysledku
n19:7810687
n3:druhVysledku
n16:J
n3:duvernostUdaju
n7:S
n3:entitaPredkladatele
n5:predkladatel
n3:idSjednocenehoVysledku
187375
n3:idVysledku
RIV/61389005:_____/11:00367928
n3:jazykVysledku
n18:eng
n3:klicovaSlova
Laplacian; Dirichlet and Neumann boundary conditions; Twist
n3:klicoveSlovo
n10:Laplacian n10:Dirichlet%20and%20Neumann%20boundary%20conditions n10:Twist
n3:kodStatuVydavatele
US - Spojené státy americké
n3:kontrolniKodProRIV
[5797FDFB79E5]
n3:nazevZdroje
Journal of Differential Equations
n3:obor
n12:BE
n3:pocetDomacichTvurcuVysledku
1
n3:pocetTvurcuVysledku
2
n3:projekt
n13:LC06002
n3:rokUplatneniVysledku
n14:2011
n3:svazekPeriodika
250
n3:tvurceVysledku
Zuazua, E. Krejčiřík, David
n3:wos
000286699700003
n3:zamer
n20:AV0Z10480505
s:issn
0022-0396
s:numberOfPages
3
n4:doi
10.1016/j.jde.2010.11.005