|
Hokkaido University Collection of Scholarly and Academic Papers >
Graduate School of Science / Faculty of Science >
Hokkaido University Preprint Series in Mathematics >
Remarks on nonlinear Schrdinger equations in one space dimension
| Title: | Remarks on nonlinear Schrdinger equations in one space dimension |
| Authors: | Hayashi, Nakao Browse this author | | Ozawa, Tohru Browse this author |
| Issue Date: | Apr-1992 |
| Publisher: | Department of Mathematics, Hokkaido University |
| Journal Title: | Hokkaido University Preprint Series in Mathematics |
| Volume: | 146 |
| Start Page: | 2 |
| End Page: | 10 |
| Abstract: | We consider the initial value problem for nonlinear Schodinger equations :｛i8tu+ ½82u = F(u,8u,'ii,8'ii), (t,:z:) E ]R+ X IR, u(O,:z:)=uo(:z:), :z:EIR,｝where 8 = 82 = 8/8:z:, F : C4 -+ C is a polynomial having no constant nor linear terms. Without smallness condition on the data uo, it is shown that (t) have a unique local solution in time if uo is in H3•0 n H2•1 , where Hm,• = {/ E S'; 11/llm,a = 11(1 + :z:2 )½(1- )Zf' /ll2 < oo}, m,s E !R. |
| Type: | bulletin (article) |
| URI: | http://hdl.handle.net/2115/68892 |
| Appears in Collections: | 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics
|
Submitter: 数学紀要登録作業用
|
