Global existence of small classical solutions to nonlinear Schrödinger equations

Tohru Ozawa, Jian Zhai

研究成果: Article査読

18 被引用数 (Scopus)

抄録

We study the global Cauchy problem for nonlinear Schrödinger equations with cubic interactions of derivative type in space dimension n ≥ 3. The global existence of small classical solutions is proved in the case where every real part of the first derivatives of the interaction with respect to first derivatives of wavefunction is derived by a potential function of quadratic interaction. The proof depends on the energy estimate involving the quadratic potential and on the endpoint Strichartz estimates.

本文言語English
ページ(範囲)303-311
ページ数9
ジャーナルAnnales de l'Institut Henri Poincare (C) Analyse Non Lineaire
25
2
DOI
出版ステータスPublished - 2008
外部発表はい

ASJC Scopus subject areas

  • Analysis
  • Mathematical Physics
  • Applied Mathematics

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