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 |
|---|---|
| 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
Funding
The authors were supported in part by the NSF grants DMS0354539 and DMS0301122. Acknowledgement Open Access
| Funders | Funder number |
|---|---|
| U.S. Department of Energy Chinese Academy of Sciences Guangzhou Municipal Science and Technology Project Oak Ridge National Laboratory Extreme Science and Engineering Discovery Environment National Science Foundation National Energy Research Scientific Computing Center National Natural Science Foundation of China | 0301122, DMS0354539, 0354539 |
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics