Small data blow-up for a system of nonlinear Schrödinger equations

Tohru Ozawa, Hideaki Sunagawa

研究成果: Article

20 引用 (Scopus)

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
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