Finite time blowup for the fourth-order NLS

Yonggeun Cho, Tohru Ozawa, Chengbo Wang

    Research output: Contribution to journalArticle

    5 Citations (Scopus)

    Abstract

    We consider the fourth-order Schrödinger equation with focusing inhomogeneous nonlinearity (−|x|−2|u|4/n u) in high space dimensions. Extending Glassey’s virial argument, we show the finite time blowup of solutions when the energy is negative.

    Original languageEnglish
    Pages (from-to)615-640
    Number of pages26
    JournalBulletin of the Korean Mathematical Society
    Volume53
    Issue number2
    DOIs
    Publication statusPublished - 2016

    Keywords

    • Finite time blowup
    • Fourth order NLS
    • Mass-critical
    • Virial argument

    ASJC Scopus subject areas

    • Mathematics(all)

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