A new approach to hyperbolic inverse problems II (Global step)

Details A new approach to hyperbolic inverse problems II (Global step) A new approach to hyperbolic inverse problems II (Global step)

2007-01-13

arxiv.org/abs/math/0701373v1

Mathematics

Analysis of PDEs

21 pages, 2 figures

Scientific paper

10.1088/0266-5611/23/6/004

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 [E]. In [E] 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 way of the determination of the metric is new.

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