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Finite energy solutions of nonlinear Schrdinger equations of derivative type
Title: | Finite energy solutions of nonlinear Schrdinger equations of derivative type |
Authors: | Hayashi, N. Browse this author | Ozawa, T. Browse this author |
Issue Date: | Mar-1993 |
Publisher: | Department of Mathematics, Hokkaido University |
Journal Title: | Hokkaido University Preprint Series in Mathematics |
Volume: | 191 |
Start Page: | 1 |
End Page: | 21 |
Abstract: | This paper is concerned with the initial value problem for nonlinear Schrodinger equations of the form where 8 = 8z = 8 / 8:i:1 ..\, A1, ..\2 E Iffi., and 2 ;£ Pl < P2 < 5. It is shown that if q> E H1(Iffi.) and then there exists a unique global solution 'Ip of ( *) such that In this paper we introduce a new method to obtain the result. Key words. Derivative Nonlinear Schrodinger Equations, Gauge Transformations. AMS(MOS) subject classifications. 35Q55, 35Q60. |
Type: | bulletin (article) |
URI: | http://hdl.handle.net/2115/68937 |
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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