Optimal partial regularity of second-order parabolic systems under natural growth condition
Shuhong Chen, Zhong Tan · Boundary Value Problems · 2013
We consider the regularity for weak solutions of second-order nonlinear parabolic systems under a natural growth condition when , 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.