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arXiv · 0707.1191

Global parametrices and dispersive estimates for variable coefficient wave equations

Jason Metcalfe·Daniel Tataru
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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.

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Jason Metcalfe, Daniel Tataru. 2009-08-28. Global parametrices and dispersive estimates for variable coefficient wave equations. https://arxiv.org/abs/0707.1191

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