Strichartz estimates for the Wave and Schrodinger Equations with Potentials of Critical Decay

Abstract

We prove weighted L^2 (Morawetz) estimates for the solutions of linear Schrodinger and wave equation with potentials that decay like |x|^{-2} for large x, by deducing them from estimates on the resolvent of the associated elliptic operator. We then deduce Strichartz estimates for these equations.

18 pages, error corrected in the proof of Lemma 3.2