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

A. Shadi Tahvildar-Zadeh; Fabrice Planchon; John G. Stalker; Nicolas Burq

arxiv: math/0401019 · v2 · pith:EXDWSBZTnew · submitted 2004-01-04 · 🧮 math.AP

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

Nicolas Burq , Fabrice Planchon , John G. Stalker , A. Shadi Tahvildar-Zadeh This is my paper

classification 🧮 math.AP

keywords estimatesdecayequationspotentialsschrodingerstrichartzwaveassociated

0 comments

read the original 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.

This paper has not been read by Pith yet.

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

discussion (0)