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Weighted regularity estimates for a class of higher-order nonlinear parabolic and elliptic systems

Authors: 

The Anh Bui, Xuan Thinh Duong, Xuan Truong Le*

Source title: 
Nonlinear Analysis -Theory Methods & Applications, 180: 184-207, 2019 (ISI)
Academic year of acceptance: 
2018-2019
Abstract: 

In this paper, we prove the weighted regularity estimates and the Morrey regularity estimates for a class of higher-order nonlinear parabolic systems which satisfy an asymptotically regular condition. As a byproduct, similar regularity estimates are also obtained for a corresponding class of higher-order nonlinear elliptic systems.