Global parametrices and dispersive estimates for variable coefficient wave equations

Details Global parametrices and dispersive estimates for variable coefficient wave equations Global parametrices and dispersive estimates for variable coefficient wave equations

2007-07-09

arxiv.org/abs/0707.1191v2

Mathematics

Analysis of PDEs

52 pages. Several typos corrected, and the exposition was expanded in Sections 8 and beyond

Scientific paper

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.

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