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 - Journal Article
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
R&D Projects: GA ČR GAP201/10/1920
Institutional research plan: CEZ:AV0Z1019905
Keywords : evolution problems * heat equation * Orlitz-Slobodetskii spaces * Orlitz-Sobolev spaces
Subject RIV: BA - General Mathematics
Impact factor: 0.631, year: 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 ....
Permanent Link: http://hdl.handle.net/11104/0248494