Počet záznamů: 1  

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

  1. 1.
    0446519 - MU-W 2016 RIV ES eng J - Článek v odborném periodiku
    Kałamajska, A. - Krbec, Miroslav
    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.
    Revista Mathématica Complutense. Roč. 28, č. 3 (2015), s. 677-713. ISSN 1139-1138
    Grant CEP: GA ČR GAP201/10/1920
    Výzkumný záměr: CEZ:AV0Z1019905
    Klíčová slova: evolution problems * heat equation * Orlitz-Slobodetskii spaces * Orlitz-Sobolev spaces
    Kód oboru RIV: BA - Obecná matematika
    Impakt faktor: 0.631, rok: 2015
    http://link.springer.com/article/10.1007%2Fs13163-014-0164-4

    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 ....
    Trvalý link: http://hdl.handle.net/11104/0248494
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