Analytic smoothing effect for nonlinear schrödinger equation in two space dimensions

Gaku Hoshino, Tohru Ozawa

Research output: Contribution to journalArticle

13 Citations (Scopus)

Abstract

We prove the global existence of analytic solutions to the Cauchy problem for nonlinear Schrödinger equations in two dimensions, where the nonlinearity behaves as a cubic power at the origin and the Cauchy data are small and decay exponentially at infinity.

Original languageEnglish
Pages (from-to)609-618
Number of pages10
JournalOsaka Journal of Mathematics
Volume51
Issue number3
Publication statusPublished - 2014 Jul 1

ASJC Scopus subject areas

  • Mathematics(all)

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