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 w...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.展开更多
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.
文摘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.