抜粋
The global well-posedness on the Cauchy problem of nonlinear Schrödinger equations (NLS) is studied for a class of critical nonlinearity below L2 in small data setting. We consider Hartree type (HNLS) and inhomogeneous power type NLS (PNLS). Since the critical Sobolev index s c is negative, it is rather difficult to analyze the nonlinear term. To overcome the difficulty we combine weighted Strichartz estimates in polar coordinates with new Duhamel estimates involving angular regularity.
| 元の言語 | English |
|---|---|
| ページ（範囲） | 1389-1405 |
| ページ数 | 17 |
| ジャーナル | Discrete and Continuous Dynamical Systems- Series A |
| 巻 | 33 |
| 発行部数 | 4 |
| DOI | |
| 出版物ステータス | Published - 2013 4 1 |
ASJC Scopus subject areas
- Analysis
- Discrete Mathematics and Combinatorics
- Applied Mathematics
フィンガープリント Global well-posedness of critical nonlinear Schrödinger equations below L<sup>2</sup>' の研究トピックを掘り下げます。これらはともに一意のフィンガープリントを構成します。
これを引用
Cho, Y., Hwang, G., & Ozawa, T. (2013). Global well-posedness of critical nonlinear Schrödinger equations below L2. Discrete and Continuous Dynamical Systems- Series A, 33(4), 1389-1405. https://doi.org/10.3934/dcds.2013.33.1389