A sharp bilinear estimate for the Klein-Gordon equation in ℝ1+1

Tohru Ozawa, Keith M. Rogers

    Research output: Contribution to journal › Article

    4 Citations (Scopus)

    Abstract

    We prove a sharp bilinear estimate for the one-dimensional Klein-Gordon equation. The proof involves an unlikely combination of five trigonometric identities. We also prove new estimates for the restriction of the Fourier transform to the hyperbola, where the pullback measure is not assumed to be compactly supported.

    Original languageEnglish
    Pages (from-to)1367-1378
    Number of pages12
    JournalInternational Mathematics Research Notices
    Volume2014
    Issue number5
    DOIs
    Publication statusPublished - 2014 Nov

    Fingerprint

    Trigonometric identity
    Bilinear Estimates
    Hyperbola
    Klein-Gordon Equation
    Pullback
    Fourier transform
    Restriction
    Estimate

    ASJC Scopus subject areas

    • Mathematics(all)

    Cite this

    A sharp bilinear estimate for the Klein-Gordon equation in ℝ1+1 . / Ozawa, Tohru; Rogers, Keith M.

    In: International Mathematics Research Notices, Vol. 2014, No. 5, 11.2014, p. 1367-1378.

    Research output: Contribution to journal › Article

    Ozawa, T & Rogers, KM 2014, 'A sharp bilinear estimate for the Klein-Gordon equation in ℝ1+1 ', International Mathematics Research Notices, vol. 2014, no. 5, pp. 1367-1378. https://doi.org/10.1093/imrn/rns254
    Ozawa T, Rogers KM. A sharp bilinear estimate for the Klein-Gordon equation in ℝ1+1 International Mathematics Research Notices. 2014 Nov;2014(5):1367-1378. https://doi.org/10.1093/imrn/rns254
    Ozawa, Tohru ; Rogers, Keith M. / A sharp bilinear estimate for the Klein-Gordon equation in ℝ1+1 In: International Mathematics Research Notices. 2014 ; Vol. 2014, No. 5. pp. 1367-1378.
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