On solutions to the heat equation with the initial condition in the Orlicz - Slobodetskii space
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F14%3A00430331" target="_blank" >RIV/67985840:_____/14:00430331 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1017/S0308210513000218" target="_blank" >http://dx.doi.org/10.1017/S0308210513000218</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1017/S0308210513000218" target="_blank" >10.1017/S0308210513000218</a>
Alternative languages
Result language
angličtina
Original language name
On solutions to the heat equation with the initial condition in the Orlicz - Slobodetskii space
Original language 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(?). Under certain assumptions on the Orlicz function R, we prove that the solution u belongs to theOrlicz-Sobolev space W1,R(? (0,T)).
Czech name
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Czech description
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Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
<a href="/en/project/GAP201%2F10%2F1920" target="_blank" >GAP201/10/1920: Contemporary function spaces theory and applications</a><br>
Continuities
Z - Vyzkumny zamer (s odkazem do CEZ)
Others
Publication year
2014
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Proceedings of the Royal Society of Edinburgh. A - Mathematics
ISSN
0308-2105
e-ISSN
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Volume of the periodical
144
Issue of the periodical within the volume
4
Country of publishing house
GB - UNITED KINGDOM
Number of pages
21
Pages from-to
787-807
UT code for WoS article
000339948000009
EID of the result in the Scopus database
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