About: On solutions to the heat equation with the initial condition in the Orlicz

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
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)). (en)
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 (en)
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 (en)
skos:notation	RIV/67985840:_____/14:00430331!RIV15-GA0-67985840
http://linked.open...avai/riv/aktivita	P Z
http://linked.open...avai/riv/aktivity	P(GAP201/10/1920), Z(AV0Z10190503)
http://linked.open...iv/cisloPeriodika	4
http://linked.open...vai/riv/dodaniDat	2015
http://linked.open...aciTvurceVysledku	Krbec, Miroslav
http://linked.open.../riv/druhVysledku	J - Článek v odborném periodiku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Matematický ústav AV ČR, v. v. i.
http://linked.open...dnocenehoVysledku	34377
http://linked.open...ai/riv/idVysledku	RIV/67985840:_____/14:00430331
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	Sobolev spaces; manifolds; inequalities (en)
http://linked.open.../riv/klicoveSlovo	inequalities manifolds Sobolev spaces
http://linked.open...odStatuVydavatele	GB - Spojené království Velké Británie a Severního Irska
http://linked.open...ontrolniKodProRIV	[F92955C5249F]
http://linked.open...i/riv/nazevZdroje	Proceedings of the Royal Society of Edinburgh. A - Mathematics
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	2 (xsd:int)
http://linked.open...vavai/riv/projekt	Contemporary function spaces theory and applications
http://linked.open...UplatneniVysledku	2014
http://linked.open...v/svazekPeriodika	144
http://linked.open...iv/tvurceVysledku	Krbec, Miroslav Kałamajska, A.
http://linked.open...ain/vavai/riv/wos	000339948000009
http://linked.open...n/vavai/riv/zamer	Rozvoj a prohloubení obecných matematických poznatků a jejich užití v dalších vědních oborech a v praxi
issn	0308-2105
number of pages	21 (xsd:int)
http://bibframe.org/vocab/doi	10.1017/S0308210513000218

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