Analytic Smoothing Effect for the Nonlinear Schrödinger Equations Without Square Integrability

Gaku Hoshino*, Ryosuke Hyakuna

*この研究の対応する著者

研究成果: Article査読

3 被引用数 (Scopus)

抄録

In this study we consider the Cauchy problem for the nonlinear Schrödinger equations with data which belong to (Formula presented.)(Formula presented.) In particular, we discuss analytic smoothing effect with data which satisfy exponentially decaying condition at spatial infinity in (Formula presented.)(Formula presented.) We construct solutions in the function space of analytic vectors for the Galilei generator and the analytic Hardy space with the phase modulation operator based on (Formula presented.).

本文言語English
ページ(範囲)1-20
ページ数20
ジャーナルJournal of Fourier Analysis and Applications
DOI
出版ステータスAccepted/In press - 2017 9 15

ASJC Scopus subject areas

  • 分析
  • 数学 (全般)
  • 応用数学

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