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

preprint2010arXivOpen access

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.

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