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Reconstruction and uniqueness of an inverse scattering problem with impedance boundary
Authors:Liu Jijun   Cheng Jin  Gen Nakamura
Affiliation:1. Department of Mathematics, Nanjing Normal University, Nanjing 210097, China;Department of Applied Mathematics, Southeast University, Nanjing 210096, China
2. Department of Mathematics, Fudan University, Shanghai 200433, China
3. Department of Mathematics, Graduate School of Science, Hokkaido University, Sapporo 060-0810, Japan
Abstract:Consider an inverse scattering problem for a scatterer D ⊂ R3 with impedance type boundary condition. By defining the scatterer shape in a completely new way, we give a constructive method to recover the scatterer shape with unknown impedance coefficient. The uniqueness for this inverse problem is also obtained.
Keywords:inverse scattering  inversion, uniqueness  probe method
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