On mass concentration for the L2-critical nonlinear schrodinger equations

M. Chae, S. Hong, J. Kim, S. Lee, C. W. Yang

    Research output: Contribution to journalArticlepeer-review

    6 Citations (Scopus)

    Abstract

    We consider the mass concentration phenomenon for the L2-critical nonlinear Schrödinger equations. We show the mass concentration of blow-up solutions contained in LqtLrx space near the finite time. The new ingredient in this paper is a refinement of Strichartz's estimates with the mixed norm LqtLrx for 2<q≤r.

    Original languageEnglish
    Pages (from-to)486-505
    Number of pages20
    JournalCommunications in Partial Differential Equations
    Volume34
    Issue number5
    DOIs
    Publication statusPublished - 2009 May

    Bibliographical note

    Funding Information:
    The research of the first author is supported by the grant KRF-2007-C00020. The research of the second author was supported by the Korea Research Foundation Grant funded by the Korean Government (MOEHRD) KRF-2007-531-C00006. The research of third author is supported by the Korea Science and Engineering Foundation (KOSEF) grant funded by the Korea government (MOST) (Grant No. R01-2007-000-10527-0). The research of the fourth author is supported in part by the grant KOSEF-2007-8-1220. The fifth author was supported by a Korea University Grant.

    Keywords

    • Hartree equation
    • Mass concentration
    • Mixed norm blow-up
    • Schrödinger equation

    ASJC Scopus subject areas

    • Analysis
    • Applied Mathematics

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