Uniform ergodic theorems for discontinuous skew-product flows and applications to Schrodinger equations

doi:10.1088/0951-7715/24/5/008

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	Uniform ergodic theorems for discontinuous skew-product flows and applications to Schrodinger equations
	Zhang, Meirong 1,2; Zhou, Zhe1,3
	2011-05-01
发表期刊	NONLINEARITY
ISSN	0951-7715
卷号	24 期号:5 页码:1539-1564
摘要	Motivated by linear Schrodinger equations with almost periodic potentials and phase transitions over almost periodic lattices, we introduce the so-called skew-product quasi-flows (SPQFs), which may admit both temporal and spatial discontinuity. In this paper we establish two basic theorems for SPQFs. One is an extension of the Bogoliubov-Krylov theorem for the existence of invariant Borel probability measures and the other is the uniform ergodic theorems. As applications, it will be shown that such a Schrodinger equation admits a well-defined rotation number.
DOI	10.1088/0951-7715/24/5/008
语种	英语
资助项目	National Basic Research Program of China[2006CB805903] ; Ministry of Education of China[20090002110079] ; National 111 Project of China ; National Natural Science Foundation of China[10531010]
WOS研究方向	Mathematics ; Physics
WOS类目	Mathematics, Applied ; Physics, Mathematical
WOS记录号	WOS:000289555300008
出版者	IOP PUBLISHING LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/11519
专题	应用数学研究所
通讯作者	Zhang, Meirong
作者单位	1.Tsinghua Univ, Dept Math Sci, Beijing 100084, Peoples R China 2.Tsinghua Univ, Zhou Pei Yuan Ctr Appl Math, Beijing 100084, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Inst Appl Math, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Zhang, Meirong,Zhou, Zhe. Uniform ergodic theorems for discontinuous skew-product flows and applications to Schrodinger equations[J]. NONLINEARITY,2011,24(5):1539-1564.
APA	Zhang, Meirong,&Zhou, Zhe.(2011).Uniform ergodic theorems for discontinuous skew-product flows and applications to Schrodinger equations.NONLINEARITY,24(5),1539-1564.
MLA	Zhang, Meirong,et al."Uniform ergodic theorems for discontinuous skew-product flows and applications to Schrodinger equations".NONLINEARITY 24.5(2011):1539-1564.