Inverse problem for the nonselfadjoint Schr"odinger Operator with energy dependent potential in Two dimensionsPreprint Series # 651
AbstractIn this paper we study the inverse scattering problem of determining the potential for the two dimensional Schr\"odinger operator of the form \delta u(x)+i \sqrt{E} b(x)u(x)=Eu(x), E>0 which is derived from the dissipative wave equation w_{tt}(x, t)\delta w(x, t)+b(x)w_t =0 The uniqueness theorem will be shown without assuming the smallnes condition on b(x) under the low energy.
