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Inverse problem for the nonselfadjoint Schrödinger Operator with energy dependent potential in Two dimensions
| Title: | Inverse problem for the nonselfadjoint Schrödinger Operator with energy dependent potential in Two dimensions |
| Authors: | Watanabe, Michiyuki Browse this author |
| Issue Date: | 2004 |
| Publisher: | Department of Mathematics, Hokkaido University |
| Journal Title: | Hokkaido University Preprint Series in Mathematics |
| Volume: | 651 |
| Start Page: | 1 |
| End Page: | 24 |
| 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. |
| Type: | bulletin (article) |
| URI: | http://hdl.handle.net/2115/69458 |
| Appears in Collections: | 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics
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Submitter: 数学紀要登録作業用
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