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

Tohru Ozawa, Hideaki Sunagawa

研究成果: Article査読

21 被引用数 (Scopus)

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
ページ(範囲)147-155
ページ数9
ジャーナルJournal of Mathematical Analysis and Applications
399
1
DOI
出版ステータスPublished - 2013 3 1

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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