Strichartz estimates for the Wave and Schrodinger Equations with Potentials of Critical Decay
Abstract
We prove weighted L2 (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.
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