Abstract
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 [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. © The Author(s) 2009.
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CITATION STYLE
APA
Marzuola, J., Metcalfe, J., Tataru, D., & Tohaneanu, M. (2009). Strichartz estimates on Schwarzschild black hole backgrounds. Communications in Mathematical Physics, 293(1), 37–83. https://doi.org/10.1007/s00220-009-0940-z
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