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On the nonlinear Schrdinger equations of derivative type
Title: | On the nonlinear Schrdinger equations of derivative type |
Authors: | Ozawa, T. Browse this author |
Issue Date: | 1-Jul-1995 |
Publisher: | Department of Mathematics, Hokkaido University |
Journal Title: | Hokkaido University Preprint Series in Mathematics |
Volume: | 304 |
Start Page: | 1 |
End Page: | 27 |
Abstract: | This paper studies the Cauchy problem both at finite and infinite times for a class of nonlinear Schrodinger equations with coupling of derivative type. The proof uses gauge transformations which reduce the original equations to systems of equations without coupling of derivative type. Concerning the Cauchy problem at finite times, we give sufficient conditions for the global well-posedness in the energy space. Concerning the Cauchy problem at infinity, we construct modified wave operators on small and sufficiently· regular asymptotic states. |
Type: | bulletin (article) |
URI: | http://hdl.handle.net/2115/69055 |
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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