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

0446519 - MÚ 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. E-ISSN 1988-2807
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