Global existence of small solutions for the fourth-order nonlinear Schrödinger equation

Kazuki Aoki, Nakao Hayashi, Pavel I. Naumkin

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)

Abstract

We consider the Cauchy problem for the fourth-order nonlinear Schrödinger equation [Equation not available: see fulltext.]where n= 1 , 2. We prove global existence of small solutions under the growth condition of f(u) satisfying |∂ujf(u)|≤C|u|p-j, where p>1+4n,0≤j≤3.

Original languageEnglish
Article number65
JournalNonlinear Differential Equations and Applications
Volume23
Issue number6
DOIs
Publication statusPublished - 2016 Dec 1
Externally publishedYes

Keywords

  • Fourth-order nonlinear Schrödinger equation
  • Global existence
  • Non gauge invariant

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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