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NUMBER M19019
AUTHOR Park, Jung-Tae
TITLE Global regularity for degenerate/singular parabolic equations involving measure data
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JOURNAL CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2021
ABSTRACT We consider degenerate and singular parabolic equations with p-Laplacian structure in bounded nonsmooth domains when the right-hand side is a signed Radon measure with finite total mass. We develop a new tool that allows global regularity estimates for the spatial gradient of solutions to such parabolic measure data problems, by introducing the (intrinsic) fractional maximal function of a given measure.
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