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.
Original language | English |
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Pages (from-to) | 37-83 |
Number of pages | 47 |
Journal | Communications in Mathematical Physics |
Volume | 293 |
Issue number | 1 |
DOIs | |
State | Published - 2009 |
Bibliographical note
Funding Information:The authors were supported in part by the NSF grants DMS0354539 and DMS0301122. Acknowledgement Open Access
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics