Sharp Morawetz estimates

Tohru Ozawa, Keith M. Rogers

    Research output: Contribution to journalArticle

    12 Citations (Scopus)

    Abstract

    We prove sharp Morawetz estimates - global in time with a singular weight in the spatial variables - for the linear wave, Klein-Gordon, and Schrödinger equations, for which we can characterise the maximisers. We also prove refined inequalities with respect to the angular integrability.

    Original languageEnglish
    Pages (from-to)163-175
    Number of pages13
    JournalJournal d'Analyse Mathematique
    Volume121
    Issue number1
    DOIs
    Publication statusPublished - 2013 Oct

    Fingerprint

    Integrability
    Estimate

    ASJC Scopus subject areas

    • Mathematics(all)
    • Analysis

    Cite this

    Sharp Morawetz estimates. / Ozawa, Tohru; Rogers, Keith M.

    In: Journal d'Analyse Mathematique, Vol. 121, No. 1, 10.2013, p. 163-175.

    Research output: Contribution to journalArticle

    Ozawa, Tohru ; Rogers, Keith M. / Sharp Morawetz estimates. In: Journal d'Analyse Mathematique. 2013 ; Vol. 121, No. 1. pp. 163-175.
    @article{c448829e695548b090d81c9cbc8046e6,
    title = "Sharp Morawetz estimates",
    abstract = "We prove sharp Morawetz estimates - global in time with a singular weight in the spatial variables - for the linear wave, Klein-Gordon, and Schr{\"o}dinger equations, for which we can characterise the maximisers. We also prove refined inequalities with respect to the angular integrability.",
    author = "Tohru Ozawa and Rogers, {Keith M.}",
    year = "2013",
    month = "10",
    doi = "10.1007/s11854-013-0031-0",
    language = "English",
    volume = "121",
    pages = "163--175",
    journal = "Journal d'Analyse Mathematique",
    issn = "0021-7670",
    publisher = "Springer New York",
    number = "1",

    }

    TY - JOUR

    T1 - Sharp Morawetz estimates

    AU - Ozawa, Tohru

    AU - Rogers, Keith M.

    PY - 2013/10

    Y1 - 2013/10

    N2 - We prove sharp Morawetz estimates - global in time with a singular weight in the spatial variables - for the linear wave, Klein-Gordon, and Schrödinger equations, for which we can characterise the maximisers. We also prove refined inequalities with respect to the angular integrability.

    AB - We prove sharp Morawetz estimates - global in time with a singular weight in the spatial variables - for the linear wave, Klein-Gordon, and Schrödinger equations, for which we can characterise the maximisers. We also prove refined inequalities with respect to the angular integrability.

    UR - http://www.scopus.com/inward/record.url?scp=84888019788&partnerID=8YFLogxK

    UR - http://www.scopus.com/inward/citedby.url?scp=84888019788&partnerID=8YFLogxK

    U2 - 10.1007/s11854-013-0031-0

    DO - 10.1007/s11854-013-0031-0

    M3 - Article

    AN - SCOPUS:84888019788

    VL - 121

    SP - 163

    EP - 175

    JO - Journal d'Analyse Mathematique

    JF - Journal d'Analyse Mathematique

    SN - 0021-7670

    IS - 1

    ER -