Space-time analytic smoothing effect for the pseudo-conformally invariant Schrödinger equations

Gaku Hoshino, Tohru Ozawa

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)

Abstract

We study the global Cauchy problem for the mass critical nonlinear Schrödinger equations. We prove the global existence of analytic solutions in both space and time variables for sufficiently small and exponentially decaying Cauchy data. The method of proof depends on the Leibniz rule for the generator of pseudo-conformal transforms at the L2 critical level.

Original languageEnglish
Article number3
Pages (from-to)1-10
Number of pages10
JournalNonlinear Differential Equations and Applications
Volume23
Issue number1
DOIs
Publication statusPublished - 2016 Feb 1

Keywords

  • Analytic smoothing effect
  • Global existence
  • Nonlinear Schrödinger equation

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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