Higher Integrability for Solutions to Parabolic Problems with Irregular Obstacles and Nonstandard Growth
نویسنده
چکیده
The aim of this paper is to derive the self-improving property of integrability for the spatial gradient of solutions to degenerate parabolic obstacle problem with irregular obstacles and p(x, t)-nonstandard growth. More precisely, we prove that the spatial gradient of the solution is integrable to a larger power than the natural one determined by the structural assumptions on the involved di erential operator.
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تاریخ انتشار 2015