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
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.
A. Shadi Tahvildar-Zadeh、Nicolas Burq、Fabrice Planchon、John G. Stalker
数学物理学
A. Shadi Tahvildar-Zadeh,Nicolas Burq,Fabrice Planchon,John G. Stalker.Strichartz estimates for the Wave and Schrodinger Equations with Potentials of Critical Decay[EB/OL].(2004-01-04)[2025-08-02].https://arxiv.org/abs/math/0401019.点此复制
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