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

Nicolas Burq·Fabrice Planchon·John G. Stalker·A. Shadi Tahvildar-Zadeh
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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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Nicolas Burq, Fabrice Planchon, John G. Stalker, A. Shadi Tahvildar-Zadeh. 2004-01-04. Strichartz estimates for the Wave and Schrodinger Equations with Potentials of Critical Decay. https://arxiv.org/abs/math/0401019

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