Semilinear wave equations on the Schwarzschild manifold I: Local decay estimates
General Relativity and Quantum Cosmology
2007-05-23 v2
Abstract
The semilinear wave equation on the (outer) Schwarzschild manifold is studied. We prove local decay estimates for general (non-radial) data, deriving a-priori Morawetz type estimates.
Keywords
Cite
@article{arxiv.gr-qc/0310091,
title = {Semilinear wave equations on the Schwarzschild manifold I: Local decay estimates},
author = {P. Blue and A. Soffer},
journal= {arXiv preprint arXiv:gr-qc/0310091},
year = {2007}
}
Comments
AMS-LaTeX, 16 pages. There is an errata to this paper at gr-qc/0608073