Strichartz estimates for the Wave and Schrodinger Equations with Potentials of Critical Decay
Nicolas Burq, Fabrice Planchon, John G. Stalker, A. Shadi Tahvildar-Zadeh
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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