抜粋
We give examples of small data blow-up for a three-component system of quadratic nonlinear Schrödinger equations in one space dimension. Our construction of the blowing-up solution is based on the Hopf-Cole transformation, which allows us to reduce the problem to getting suitable growth estimates for a solution to the transformed system. Amplification in the reduced system is shown to have a close connection with the mass resonance.
| 元の言語 | English |
|---|---|
| ページ（範囲） | 147-155 |
| ページ数 | 9 |
| ジャーナル | Journal of Mathematical Analysis and Applications |
| 巻 | 399 |
| 発行部数 | 1 |
| DOI | |
| 出版物ステータス | Published - 2013 3 1 |
ASJC Scopus subject areas
- Analysis
- Applied Mathematics
フィンガープリント Small data blow-up for a system of nonlinear Schrödinger equations' 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
Ozawa, T., & Sunagawa, H. (2013). Small data blow-up for a system of nonlinear Schrödinger equations. Journal of Mathematical Analysis and Applications, 399(1), 147-155. https://doi.org/10.1016/j.jmaa.2012.10.003