Optimal partial regularity of second-order parabolic systems under natural growth condition

被引：0
|
作者：
Shuhong Chen
Zhong Tan
机构：
[1] Minnan Normal University,School of Mathematics and Statistics
[2] Xiamen University,School of Mathematical Science
来源：
Boundary Value Problems | / 2013卷
关键词：
nonlinear parabolic systems; natural growth condition; -caloric approximation; optimal partial regularity;
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摘要：
We consider the regularity for weak solutions of second-order nonlinear parabolic systems under a natural growth condition when m>2, 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.
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