抄録
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.
本文言語 | English |
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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 |
号 | 1 |
DOI | |
出版ステータス | Published - 2013 3月 1 |
ASJC Scopus subject areas
- 分析
- 応用数学