Dispersion estimates for one-dimensional discrete Schrodinger and wave equations

被引：18
|
作者：
Egorova, Iryna [1 ,2 ]
Kopylova, Elena [1 ,3 ]
Teschl, Gerald [1 ,4 ]
机构：
[1] Univ Vienna, Fac Math, A-1090 Vienna, Austria
[2] Inst Low Temp Phys, UA-61103 Kharkov, Ukraine
[3] Russian Acad Sci, Inst Informat Transmiss Problems, Moscow 127994, Russia
[4] Int Erwin Schrodinger Inst Math Phys, A-1090 Vienna, Austria
来源：
JOURNAL OF SPECTRAL THEORY | 2015年 / 5卷 / 04期
基金：
奥地利科学基金会;
关键词：
Discrete Schrodinger equation; discrete wave equation; dispersive decay; scattering theory; ASYMPTOTIC STABILITY; NONLINEAR SCHRODINGER; OPERATORS; SCATTERING;
D O I：
10.4171/JST/110
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We derive dispersion estimates for solutions of the one-dimensional discrete perturbed Schrodinger and wave equations. In particular, we improve upon previous works and weaken the conditions on the potentials. To this end we also provide new results concerning scattering for one-dimensional discrete perturbed Schrodinger operators which are of independent interest. Most notably we show that the reflection and transmission coefficients belong to the Wiener algebra.
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页码：663 / 696
页数：34
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