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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

Published 2004-01-04, updated 2010-09-10Version 2

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.

Comments: 18 pages, error corrected in the proof of Lemma 3.2
Journal: Indiana Univ. Math. J., 53:1665--1680, 2004
Categories: math.AP
Subjects: 35L15, 35B45, 35Q40
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