| ファイル情報(添付) | |
| タイトル |
Solutions to nonlinear Schrodinger equations for special initial data
|
| 著者 | |
| 収録物名 |
Electronic Journal of Differential Equations
|
| 巻 | 2015 |
| 号 | 279 |
| 開始ページ | 1 |
| 終了ページ | 6 |
| 収録物識別子 |
ISSN 10726691
|
| 内容記述 |
その他
This article concerns the solvability of the nonlinear Schrodinger equation with gauge invariant power nonlinear term in one space dimension. The well-posedness of this equation is known only for H^s with s >__- 0. Under some assumptions on the nonlinearity, this paper shows that this equation is uniquely solvable for special but typical initial data, namely the linear combinations of 14;(x) and p. v.(1/x), which belong to H^<-1/2-0>. The proof in this article allows L^2-perturbations on the initial data.
|
| 主題 |
Nonlinear Schrodinger Equations
Solvability
Rough Initial Data
|
| 言語 |
英語
|
| 資源タイプ | 学術雑誌論文 |
| 出版者 |
Texas State University, Department of Mathematics
|
| 発行日 | 2015 |
| 権利情報 |
Texas State University, Department of Mathematics
|
| 出版タイプ | Version of Record（出版社版。早期公開を含む） |
| アクセス権 | オープンアクセス |
| 関連情報 |
[URI] http://ejde.math.txstate.edu
|
