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

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

2004-01-04

arxiv.org/abs/math/0401019v2

Indiana Univ. Math. J., 53:1665--1680, 2004

Mathematics

Analysis of PDEs

18 pages, error corrected in the proof of Lemma 3.2

Scientific paper

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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