Global parametrices and dispersive estimates for variable coefficient wave equations
Analysis of PDEs
2009-08-28 v2
Abstract
In this article we consider variable coefficient, time-dependent wave equations. Using phase space methods we construct outgoing parametrices and prove Strichartz-type estimates globally in time. This is done in the context of C^2 metrics which satisfy a weak aymptotic flatness condition at infinity.
Cite
@article{arxiv.0707.1191,
title = {Global parametrices and dispersive estimates for variable coefficient wave equations},
author = {Jason Metcalfe and Daniel Tataru},
journal= {arXiv preprint arXiv:0707.1191},
year = {2009}
}
Comments
52 pages. Several typos corrected, and the exposition was expanded in Sections 8 and beyond