Stability of inverse scattering problem for the damped biharmonic plate equation

被引：0
作者：
Liu, Yang
Zu, Jian [1 ,2 ]
机构：
[1] Northeast Normal Univ, Sch Math & Stat, Changchun 130024, Jilin, Peoples R China
[2] Northeast Normal Univ, Ctr Math & Interdisciplinary Sci, Changchun 130024, Jilin, Peoples R China
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2023年 / 46卷 / 05期
基金：
中国国家自然科学基金;
关键词：
Cauchy data; complex geometric optics solution; damped biharmonic plate equation; stability; INCREASING STABILITY; 1ST-ORDER PERTURBATION; UNIQUENESS; OPERATOR; ATTENUATION;
D O I：
10.1002/mma.8867
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is concerned with the stability of the inverse scattering problem for the damped biharmonic plate equation in a bounded domain with the Cauchy data. A sharp estimate for the mass density is established using a priori information concerning Sobolev norms and a priori information about the support of the inhomogeneity. Our results improve previous estimates and explicitly depend on the damping coefficient. The proof mainly relies on the complex geometric optics solution method and the Fourier analysis.
引用
收藏
页码：5794 / 5809
页数：16
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