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Inverse problem for a perturbed stratified strip in two dimensions

✍ Scribed by Michel Cristofol; Patricia Gaitan

Publisher
John Wiley and Sons
Year
2003
Tongue
English
Weight
153 KB
Volume
27
Category
Article
ISSN
0170-4214

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✦ Synopsis

Abstract

We consider the divergence form elliptic operator A=βˆ’βˆ‡~x,z~Β·(c^2^(x,z) βˆ‡~x,z~) in the strip Ξ©=ℝ× [0,H]. The velocity c(x,z) describes the multistratification of Ξ©: a horizontal stratification with a compact perturbation K, the velocity in K is a L^∞^(K) function. We suppose that the position of the perturbation is known and we prove uniqueness for identification of the perturbation from one generalized eigenfunction pattern in the neighbourhood of K. Copyright Β© 2004 John Wiley & Sons, Ltd.

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