Well posedness and regularity for heat equation with the initial condition in weighted Orlitz-Slobodetskii space subordinated to Orlicz space like lambda (log lambda0alpha and the logarithmic weight
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F15%3A00446519" target="_blank" >RIV/67985840:_____/15:00446519 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1007/s13163-014-0164-4" target="_blank" >http://dx.doi.org/10.1007/s13163-014-0164-4</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s13163-014-0164-4" target="_blank" >10.1007/s13163-014-0164-4</a>
Alternative languages
Result language
angličtina
Original language name
Well posedness and regularity for heat equation with the initial condition in weighted Orlitz-Slobodetskii space subordinated to Orlicz space like lambda (log lambda0alpha and the logarithmic weight
Original language description
We consider the initial-value problem ..., ..., where ... and u belongs to certain weighted Orlicz?Slobodetskii space ... subordinated to the logarithmic weight. We prove that under certain assumptions on Orlicz function ..., the solution ... belongs toOrlicz?Sobolev space ... for certain function ... which in general dominates .... The typical representants are ... where ....
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
2015
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Revista Mathématica Complutense
ISSN
1139-1138
e-ISSN
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Volume of the periodical
28
Issue of the periodical within the volume
3
Country of publishing house
ES - SPAIN
Number of pages
37
Pages from-to
677-713
UT code for WoS article
000359443100006
EID of the result in the Scopus database
2-s2.0-84938991204