CRITICALITY AND SUBCRITICALITY OF GENERALIZED SCHRODINGER FORMS WITH NON-LOCAL PERTURBATIONS

doi:10.1090/proc/13523

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	CRITICALITY AND SUBCRITICALITY OF GENERALIZED SCHRODINGER FORMS WITH NON-LOCAL PERTURBATIONS
	Li, Liping
	2017-09-01
发表期刊	PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
ISSN	0002-9939
卷号	145 期号:9 页码:3929-3939
摘要	In this paper, we shall treat the Schrodinger forms with non-local perturbations. We first extend the definitions of subcriticality, criticality and supercriticality for the Schrodinger forms by Takeda (2014) to the non-local cases in the context of quasi-regular Dirichlet forms. Then we prove an analytic characterization of these definitions via the bottom of the spectrum set.
DOI	10.1090/proc/13523
语种	英语
资助项目	China Postdoctoral Science Foundation[2015LH0043] ; China Postdoctoral Science Foundation[2016M590145] ; Chinese Academy of Science
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000404113200024
出版者	AMER MATHEMATICAL SOC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/25759
专题	应用数学研究所
通讯作者	Li, Liping
作者单位	Chinese Acad Sci, Acad Math & Syst Sci, Inst Appl Math, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Li, Liping. CRITICALITY AND SUBCRITICALITY OF GENERALIZED SCHRODINGER FORMS WITH NON-LOCAL PERTURBATIONS[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY,2017,145(9):3929-3939.
APA	Li, Liping.(2017).CRITICALITY AND SUBCRITICALITY OF GENERALIZED SCHRODINGER FORMS WITH NON-LOCAL PERTURBATIONS.PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY,145(9),3929-3939.
MLA	Li, Liping."CRITICALITY AND SUBCRITICALITY OF GENERALIZED SCHRODINGER FORMS WITH NON-LOCAL PERTURBATIONS".PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 145.9(2017):3929-3939.