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