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Inverse problem for the nonselfadjoint Schr"odinger Operator with energy dependent potential in Two dimensions

Preprint Series # 651
Watanabe, Michiyuki Inverse problem for the nonselfadjoint Schr"odinger Operator with energy dependent potential in Two dimensions. (2004);

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Abstract

In 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.

Item Type:Preprint
Subjects:00-xx GENERAL
ID Code:200