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- Title
Parabolic systems with measurable coefficients in weighted Orlicz spaces.
- Authors
Byun, Sun-Sig; Ok, Jihoon; Palagachev, Dian K.; Softova, Lubomira G.
- Abstract
We consider a parabolic system in divergence form with measurable coefficients in a cylindrical space-time domain with nonsmooth base. The associated nonhomogeneous term is assumed to belong to a suitable weighted Orlicz space. Under possibly optimal assumptions on the coefficients and minimal geometric requirements on the boundary of the underlying domain, we generalize the Calderón-Zygmund theorem for such systems by essentially proving that the spatial gradient of the weak solution gains the same weighted Orlicz integrability as the nonhomogeneous term.
- Subjects
PARABOLIC operators; COEFFICIENTS (Statistics); ORLICZ spaces; DIVERGENCE theorem; MEASURE theory
- Publication
Communications in Contemporary Mathematics, 2016, Vol 18, Issue 2, p-1
- ISSN
0219-1997
- Publication type
Article
- DOI
10.1142/S0219199715500182