Analytic smoothing effect for nonlinear schrödinger equation in two space dimensions

Gaku Hoshino, Tohru Ozawa

    Research output: Contribution to journalArticle

    13 Citations (Scopus)


    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
    Issue number3
    Publication statusPublished - 2014 Jul 1


    ASJC Scopus subject areas

    • Mathematics(all)

    Cite this