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Zbl 1076.35135
Valdivia, Nicolas
Uniqueness in inverse obstacle scattering with conductive boundary conditions.
(English)
[J] Appl. Anal. 83, No. 8, 825-851 (2004). ISSN 0003-6811; ISSN 1563-504X/e

Summary: We consider the uniqueness of the inverse obstacle scattering with conductive boundary conditions. This work is based on the original idea of Isakov for transmission boundary conditions, which utilize the solvability of the direct problem, orthogonality relations, approximations to solution of the direct problem and singular solutions. The methodology used is constructive and allows an extension to more general conditions and numerical methods.
MSC 2000:
*35R30 Inverse problems for PDE
35P25 Scattering theory (PDE)
35C15 Integral representations of solutions of PDE
35J25 Second order elliptic equations, boundary value problems

Keywords: Inverse problems; inverse scattering

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Scientific prize winners of the ICM 2010
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Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

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