Well-posedness for a generalized derivative nonlinear Schr�dinger equation

Masayuki Hayashi, Tohru Ozawa

研究成果: Article査読

17 被引用数 (Scopus)

抄録

We study the Cauchy problem for a generalized derivative nonlinear Schr�dinger equation with the Dirichlet boundary condition. We establish the local well-posedness results in the Sobolev spaces H1 and H2. Solutions are constructed as a limit of approximate solutions by a method independent of a compactness argument. We also discuss the global existence of solutions in the energy space H1.

本文言語English
ページ(範囲)5424-5445
ページ数22
ジャーナルJournal of Differential Equations
261
10
DOI
出版ステータスPublished - 2016 11 15

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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