Analytic smoothing effect for global solutions to nonlinear Schrödinger equations

T. Ozawa, K. Yamauchi

Research output: Contribution to journalArticle

16 Citations (Scopus)

Abstract

We prove the global existence of analytic solutions to the Cauchy problem for the cubic Schrödinger equation in space dimension n ≥ 3 for sufficiently small data with exponential decay at infinity. Minimal regularity assumption regarding scaling invariance is imposed on the Cauchy data.

Original languageEnglish
Pages (from-to)492-497
Number of pages6
JournalJournal of Mathematical Analysis and Applications
Volume364
Issue number2
DOIs
Publication statusPublished - 2010 Apr 15

Keywords

  • Analytic smoothing effect
  • Global solutions
  • Nonlinear Schrödinger equations

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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