INVERSE BOUNDARY PROBLEMS FOR BIHARMONIC OPERATORS IN TRANSVERSALLY ANISOTROPIC GEOMETRIES

被引：8
|
作者：
Yan, Lili [1 ]
机构：
[1] Univ Calif Irvine, Dept Math, Irvine, CA 92697 USA
来源：
SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 2021年 / 53卷 / 06期
基金：
美国国家科学基金会;
关键词：
inverse problems; biharmonic operators; conformally transversally geometries; CALDERON PROBLEM; 1ST-ORDER PERTURBATION; SCHRODINGER-OPERATORS; MANIFOLDS;
D O I：
10.1137/21M1391419
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study inverse boundary problems for first order perturbations of the biharmonic operator on a conformally transversally anisotropic Riemannian manifold of dimension n \geq 3. We show that a continuous first order perturbation can be determined uniquely from the knowledge of the set of the Cauchy data on the boundary of the manifold provided that the geodesic X-ray transform on the transversal manifold is injective.
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页码：6617 / 6653
页数：37
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