caa a22 4500 469035110 CHVBK 20180323132754.0 cr unu---uuuuu 170328e19921101xx s 000 0 eng 10.1007/BF01083519 doi (NATIONALLICENCE)springer-10.1007/BF01083519 Resolvent approach for two-dimensional scattering problems. Application to the nonstationary Schrödinger problem and the KPI equation [Elektronische Daten] [M. Boiti, F. Pempinelli, A. Pogrebkov, M. Polivanov] The resolvent operator of the linear problem is determined as the full Green function continued in the complex domain in two variables. An analog of the known Hilbert identity is derived. We demonstrate the role of this identity in the study of two-dimensional scattering. Considering the nonstationary Schrödinger equation as an example, we show that all types of solutions of the linear problems, as well as spectral data known in the literature, are given as specific values of this unique function — the resolvent function. A new form of the inverse problem is formulated. Plenum Publishing Corporation, 1992 Boiti M. aut Pempinelli F. aut Pogrebkov A. aut Polivanov M. aut Theoretical and Mathematical Physics Kluwer Academic Publishers-Plenum Publishers 93/2(1992-11-01), 1200-1224 0040-5779 93:2<1200 1992 93 11232 https://doi.org/10.1007/BF01083519 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF01083519 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Boiti M. aut NATIONALLICENCE 700 1- Pempinelli F. aut NATIONALLICENCE 700 1- Pogrebkov A. aut NATIONALLICENCE 700 1- Polivanov M. aut NATIONALLICENCE 773 0- Theoretical and Mathematical Physics Kluwer Academic Publishers-Plenum Publishers 93/2(1992-11-01), 1200-1224 0040-5779 93:2<1200 1992 93 11232 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer