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Hokkaido University Preprint Series in Mathematics >
Schrdinger Equations with nonlinearity of integral type
| Title: | Schrdinger Equations with nonlinearity of integral type |
| Authors: | Hayashi, N. Browse this author | | Ozawa, T. Browse this author |
| Issue Date: | 1-Oct-1994 |
| Publisher: | Department of Mathematics, Hokkaido University |
| Journal Title: | Hokkaido University Preprint Series in Mathematics |
| Volume: | 265 |
| Start Page: | 2 |
| End Page: | 12 |
| Abstract: | We consider the Cauchy problem for the nonlinear Schrodinger equation with interaction described by the integral of the intensity with respect to one direction in two space dimensions. Concerning the problem with finite initial time, we prove the global well-posedness in the largest space L2(!R2 ). Concerning the problem with infinite initial time, we prove the existence of modified wave operators on a dense set of small and sufficiently regular asymptotic states. |
| Type: | bulletin (article) |
| URI: | http://hdl.handle.net/2115/69016 |
| 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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