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Global weighted regularity estimates for higher order elliptic and parabolic systems
  • The Quan Bui,
  • Xuan Truong Le
The Quan Bui
Dong Nai University
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Xuan Truong Le
University of Economics Ho Chi Minh City, Ho Chi Minh City, Viet Nam
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Abstract

In this paper, we prove the weighted Lorentz and weighted Orlicz estimates for the weak solutions to the higher order parabolic systems with the leading coefficients satisfying a small BMO norm condition. As a byproduct, we obtain the weighted estimates for the higher order elliptic systems.

Peer review status:UNDER REVIEW

07 Aug 2020Submitted to Mathematical Methods in the Applied Sciences
12 Aug 2020Submission Checks Completed
12 Aug 2020Assigned to Editor
24 Aug 2020Reviewer(s) Assigned
08 Feb 2021Review(s) Completed, Editorial Evaluation Pending
20 Feb 2021Editorial Decision: Revise Minor
03 Mar 20211st Revision Received
04 Mar 2021Submission Checks Completed
04 Mar 2021Assigned to Editor
07 Apr 2021Reviewer(s) Assigned
08 Apr 2021Review(s) Completed, Editorial Evaluation Pending
07 Jul 2021Editorial Decision: Revise Minor
21 Jul 20212nd Revision Received
21 Jul 2021Submission Checks Completed
21 Jul 2021Assigned to Editor
27 Jul 2021Reviewer(s) Assigned