Optimal three-ball inequality, quantitative uniqueness for the
bi-Laplace equations
Xiaoyu FU
Sichuan University
Corresponding Author:xiaoyufu@scu.edu.cn
Author ProfileAbstract
In this paper, we prove an optimal three-ball inequality for bi-Laplace
equation in some open, connected set. The derivation of such estimate
relies on a delicate Carleman estimate for the bi-Laplace equation and
some Caccioppoli inequalities to estimate the lower-ters. Based on three
-ball inequality, we then derive the vanishing order of solutions, which
is a quantitative version of the strong unique continuation property.17 Nov 2020Submitted to Mathematical Methods in the Applied Sciences 18 Nov 2020Submission Checks Completed
18 Nov 2020Assigned to Editor
21 Nov 2020Reviewer(s) Assigned
16 Feb 2021Review(s) Completed, Editorial Evaluation Pending
24 Feb 2021Editorial Decision: Revise Minor
20 Mar 20211st Revision Received
20 Mar 2021Submission Checks Completed
20 Mar 2021Assigned to Editor
20 Mar 2021Editorial Decision: Accept