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Partial regularity for parabolic systems with non-standard growth
Authors:Frank Duzaar  Jens Habermann
Institution:1. Department Mathematik, Universit?t Erlangen, Cauerstr. 11, 91058, Erlangen, Germany
Abstract:We study non-linear parabolic systems with non-standard p(z)-growth conditions and establish that the gradient of weak solutions is locally H?lder continuous with H?lder exponent b ? (0,1){\beta \in (0,1)} with respect to the parabolic metric on an open set of full Lebesgue measure, provided the exponent function p(z) itself is H?lder continuous with exponent β with respect to the parabolic metric.
Keywords:
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