Analytic smoothing effect for nonlinear schrödinger equation in two space dimensions

Gaku Hoshino, Tohru Ozawa

Research output: Contribution to journalArticlepeer-review

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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