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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
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SYSNO ASEP 0446519 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title 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 Author(s) Kałamajska, A. (PL)
Krbec, Miroslav (MU-W) RID, SAISource Title Revista Mathématica Complutense. - : Springer - ISSN 1139-1138
Roč. 28, č. 3 (2015), s. 677-713Number of pages 37 s. Language eng - English Country ES - Spain Keywords evolution problems ; heat equation ; Orlitz-Slobodetskii spaces ; Orlitz-Sobolev spaces Subject RIV BA - General Mathematics R&D Projects GAP201/10/1920 GA ČR - Czech Science Foundation (CSF) CEZ AV0Z1019905 - MU-W UT WOS 000359443100006 EID SCOPUS 84938991204 DOI 10.1007/s13163-014-0164-4 Annotation 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 to Orlicz–Sobolev space ... for certain function ... which in general dominates .... The typical representants are ... where .... Workplace Mathematical Institute Contact Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2016
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