Global regularity for degenerate/singular parabolic equations involving measure data

نویسندگان

چکیده

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 finite total mass. develop new tool that allows global regularity estimates for spatial gradient of solutions to such data problems, by introducing (intrinsic) fractional maximal function given measure.

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ژورنال

عنوان ژورنال: Calculus of Variations and Partial Differential Equations

سال: 2021

ISSN: ['0944-2669', '1432-0835']

DOI: https://doi.org/10.1007/s00526-020-01906-2