Strichartz Estimates on Schwarzschild Black Hole Backgrounds
نویسندگان
چکیده
We study dispersive properties for the wave equation in the Schwarzschild space-time. The rst result we obtain is a local energy estimate. This is then used, following the spirit of [29], 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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تاریخ انتشار 2008