Analytic smoothing effect for the cubic hyperbolic schrödinger equation in two space dimensions

Gaku Hoshino, Tohru Ozawa

    Research output: Contribution to journalArticlepeer-review

    2 Citations (Scopus)

    Abstract

    We study the Cauchy problem for the cubic hyperbolic Schrödinger equation in two space dimensions. We prove existence of analytic global solutions for sufficiently small and exponential decaying data. The method of proof depends on the generalized Leibniz rule for the generator of pseudo-conformal transform acting on pseudo-conformally invariant nonlinearity.

    Original languageEnglish
    JournalElectronic Journal of Differential Equations
    Volume2016
    Publication statusPublished - 2016 Jan 25

    Keywords

    • Analytic smoothing effect
    • Global solution
    • Non elliptic Schrödinger equation
    • Nonlinear Schrödinger equation

    ASJC Scopus subject areas

    • Analysis

    Fingerprint Dive into the research topics of 'Analytic smoothing effect for the cubic hyperbolic schrödinger equation in two space dimensions'. Together they form a unique fingerprint.

    Cite this