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Reconstruction and uniqueness of an inverse scattering problem with impedance boundary 被引量:7

Reconstruction and uniqueness of an inverse scattering problem with impedance boundary
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摘要 Consider an inverse scattering problem for a scatterer D R3 with impedance type boundarycondition. By defining the scatterer shape in a completely new way, we give a constructive method to recoverthe scatterer shape with unknown impedance coefficient. The uniqueness for this inverse problem is also obtained. 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.
出处 《Science China Mathematics》 SCIE 2002年第11期1408-1419,共12页 中国科学:数学(英文版)
基金 This work was supported by the Science Foundation of Southeast University(9207011148),the National Natural Science Foundation of China(Grant No.19971016)and the Nonlinear Sciences Laboratory in Fudan University.
关键词 INVERSE scattering inversion uniqueness probe method. inverse scattering inversion, uniqueness probe method
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