We consider a parabolic system in divergence form with measurable coefficients in a nonsmooth bounded domain to obtain a global gradient estimate for the weak solution in the setting of Orlicz space which is a natural generalization of Lp space. The coefficients are assumed to be merely measurable in one spatial variable and have small bounded mean oscillation semi-norms in all the other variables. The boundary of the domain can be locally approximated by a hyperplane, a so-called δ-Reifenberg domain which is beyond the Lipschitz category.
Autori: | |
Titolo: | Parabolic systems with measurable coefficients in Reifenberg domain |
Rivista: | |
Data di pubblicazione: | 2013 |
Digital Object Identifier (DOI): | http://dx.doi.org/10.1093/imrn/rns142 |
Appare nelle tipologie: | 1.1 Articolo in rivista |
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