Analytic smoothing effect for nonlinear Schrödinger equation with quintic nonlinearity

Gaku Hoshino, Tohru Ozawa

研究成果: Article

19 引用 (Scopus)

抜粋

We prove the global existence of analytic solutions to nonlinear Schrödinger equation with quintic nonlinearity in n space dimensions for sufficiently small Cauchy data with exponential decay. The smallness assumption on the data is imposed in terms of the critical Sobolev space Ḣn/2-1/2. Moreover, a characterization of some class of analytic functions is given.

元の言語English
ページ(範囲)285-297
ページ数13
ジャーナルJournal of Mathematical Analysis and Applications
419
発行部数1
DOI
出版物ステータスPublished - 2014 11 1

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

フィンガープリント Analytic smoothing effect for nonlinear Schrödinger equation with quintic nonlinearity' 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