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Statements

Subject Item
n2:RIV%2F67985840%3A_____%2F14%3A00430331%21RIV15-GA0-67985840
rdf:type
skos:Concept n11:Vysledek
dcterms:description
We study the boundary-value problem , where x , t (0,T), n-1 is a bounded Lipschitz boundary domain, u belongs to a certain Orlicz-Slobodetskii space YR,R(Ω). Under certain assumptions on the Orlicz function R, we prove that the solution u belongs to the Orlicz-Sobolev space W1,R(Ω (0,T)). We study the boundary-value problem , where x , t (0,T), n-1 is a bounded Lipschitz boundary domain, u belongs to a certain Orlicz-Slobodetskii space YR,R(Ω). Under certain assumptions on the Orlicz function R, we prove that the solution u belongs to the Orlicz-Sobolev space W1,R(Ω (0,T)).
dcterms:title
On solutions to the heat equation with the initial condition in the Orlicz - Slobodetskii space On solutions to the heat equation with the initial condition in the Orlicz - Slobodetskii space
skos:prefLabel
On solutions to the heat equation with the initial condition in the Orlicz - Slobodetskii space On solutions to the heat equation with the initial condition in the Orlicz - Slobodetskii space
skos:notation
RIV/67985840:_____/14:00430331!RIV15-GA0-67985840
n3:aktivita
n5:P n5:Z
n3:aktivity
P(GAP201/10/1920), Z(AV0Z10190503)
n3:cisloPeriodika
4
n3:dodaniDat
n13:2015
n3:domaciTvurceVysledku
n16:7054483
n3:druhVysledku
n6:J
n3:duvernostUdaju
n18:S
n3:entitaPredkladatele
n12:predkladatel
n3:idSjednocenehoVysledku
34377
n3:idVysledku
RIV/67985840:_____/14:00430331
n3:jazykVysledku
n9:eng
n3:klicovaSlova
Sobolev spaces; manifolds; inequalities
n3:klicoveSlovo
n19:Sobolev%20spaces n19:manifolds n19:inequalities
n3:kodStatuVydavatele
GB - Spojené království Velké Británie a Severního Irska
n3:kontrolniKodProRIV
[F92955C5249F]
n3:nazevZdroje
Proceedings of the Royal Society of Edinburgh. A - Mathematics
n3:obor
n10:BA
n3:pocetDomacichTvurcuVysledku
1
n3:pocetTvurcuVysledku
2
n3:projekt
n7:GAP201%2F10%2F1920
n3:rokUplatneniVysledku
n13:2014
n3:svazekPeriodika
144
n3:tvurceVysledku
Kałamajska, A. Krbec, Miroslav
n3:wos
000339948000009
n3:zamer
n17:AV0Z10190503
s:issn
0308-2105
s:numberOfPages
21
n15:doi
10.1017/S0308210513000218