A new approach to hyperbolic inverse problems II: global step

被引:14
作者
Eskin, G. [1 ]
机构
[1] Univ Calif Los Angeles, Dept Math, Los Angeles, CA 90095 USA
关键词
D O I
10.1088/0266-5611/23/6/004
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We study the inverse problem for the second-order self-adjoint hyperbolic equation with the boundary data given on a part of the boundary. This paper is the continuation of the author's paper (Eskin 2006 A new approach to hyperbolic inverse problems Inverse Problems 22 815-33), in which we presented the crucial local step of the proof. In this paper, we prove the global step. Our method is a modification of the BC method with some new ideas. In particular, the method of determination of the metric is new.
引用
收藏
页码:2343 / 2356
页数:14
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