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TITLE Global weighted Orlicz estimates for parabolic measure data problems: Application to estimates in variable exponent spaces
KIAS AUTHORS Park, Jung-Tae
JOURNAL JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2018
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ABSTRACT We consider a nonlinear parabolic equation with measurable nonlinearity in a nonsmooth bounded domain when the right-hand side is a finite signed Radon measure. Under optimal regularity assumptions on the nonlinearity and the boundary of the domain, we prove a global Calderon-Zygmund type estimate in weighted Orlicz spaces. As an application we obtain such an estimate in variable exponent spaces, which gives an alternative proof for this new result in the literature. (C) 2018 Elsevier Inc. All rights reserved.
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