Long range scattering for higher order Schrodinger operators

被引：6
|
作者：
Duan, Zhiwen [1 ]
Zheng, Quan [1 ]
Feng, Jing [1 ]
机构：
[1] Huazhong Univ Sci & Technol, Dept Math, Wuhan 430074, Peoples R China
来源：
JOURNAL OF DIFFERENTIAL EQUATIONS | 2013年 / 254卷 / 08期
关键词：
Higher order Schrodinger operator; Wave operator; Scattering operator; EQUATIONS; POTENTIALS;
D O I：
10.1016/j.jde.2013.01.022
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper is concerned with the scattering problem for the higher order Schrodinger operator (-Delta)(m)+V(x), where V(x) is a long-range potential. At this moment the classical wave operators do not exist, so we provide one kind of modified wave operators and show the existence and the asymptotic completeness of such wave operators, as well as the expression of the corresponding scattering operator. (C) 2013 Elsevier Inc. All rights reserved.
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页码：3329 / 3351
页数：23
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