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Strichartz estimates on Schwarzschild black hole backgrounds

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 نشر من قبل Daniel Tataru
 تاريخ النشر 2009
  مجال البحث
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We study dispersive properties for the wave equation in the Schwarzschild space-time. The first result we obtain is a local energy estimate. This is then used, following the spirit of earlier work of Metcalfe-Tataru, in order to establish global-in-time Strichartz estimates. A considerable part of the paper is devoted to a precise analysis of solutions near the trapping region, namely the photon sphere.



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