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Optimal partial regularity of second order parabolic systems under controllable growth condition
Authors:Shuhong Chen  Zhong Tan
Institution:1. School of Mathematics and Statistics, Minnan Normal University, Zhangzhou 363000, Fujian, China;2. School of Mathematical Science, Xiamen University, Xiamen 361005, Fujian, China
Abstract:We consider the regularity for weak solutions of second order nonlinear parabolic systems under controllable growth condition, and obtain a general criterion for a weak solution to be regular in the neighborhood of a given point. In particular, we get the optimal regularity by the method of A-caloric approximation introduced by Duzaar and Mingione.
Keywords:Nonlinear parabolic systems  Controllable growth condition  A-caloric approximation  Optimal partial regularity
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