Dispersive Estimates of Solutions to the Schrödinger Equation

被引：0
|
作者：
Georgi Vodev
机构：
[1] Université de Nantes,Département de Mathématiques, UMR 6629 du CNRS
来源：
Annales Henri Poincaré | 2005年 / 6卷
关键词：
Dynamical System; Field Theory; Elementary Particle; Quantum Field Theory; Mathematical Method;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We prove time decay L1 → L∞ estimates for the Schrödinger group eit(−Δ + V) for real-valued potentials \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$V \in L^\infty ({\mathbf{R}}^3 )$$\end{document} satisfying V (x) = O (|x|−δ),  |x| ≫ 1, with δ > 5/2.
引用
收藏
页码：1179 / 1196
页数：17
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