Strichartz estimates on Schwarzschild black hole backgrounds
Analysis of PDEs
2015-05-13 v3
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 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.
Cite
@article{arxiv.0802.3942,
title = {Strichartz estimates on Schwarzschild black hole backgrounds},
author = {Jeremy Marzuola and Jason Metcalfe and Daniel Tataru and Mihai Tohaneanu},
journal= {arXiv preprint arXiv:0802.3942},
year = {2015}
}
Comments
44 pages; typos fixed, minor modifications in several places