Spectrum of the transport operator in a nonuniform slab with generalized boundary conditions

doi:10.1081/TT-120015420

CSpace

	Spectrum of the transport operator in a nonuniform slab with generalized boundary conditions
	Kuang, ZF ; Yang, MZ ; Zhu, GT
	2002
发表期刊	TRANSPORT THEORY AND STATISTICAL PHYSICS
ISSN	0041-1450
卷号	31 期号:3 页码:273-287
摘要	Spectral properties of the transport operator in a nonuniform slab with generalized boundary conditions were first studied in Ref. [1]. The author showed that the operator is an infinitesimal generator of a C-0-semigroup and it has at least one real eigenvalue displaying the asymptotic behavior of the initial-value problem. Both continuous spectrum and possible accumulation points of isolated eigenvalues have not been considered. In this paper, we show that the continuous spectrum fill in a passage, and the possible accumulation points of isolated eigenvalues in the right half plane lie on the right boundary of the passage.
DOI	10.1081/TT-120015420
语种	英语
WOS研究方向	Mathematics ; Physics
WOS类目	Mathematics, Applied ; Physics, Mathematical
WOS记录号	WOS:000178731900004
出版者	MARCEL DEKKER INC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/17517
专题	中国科学院数学与系统科学研究院
通讯作者	Kuang, ZF
作者单位	1.China Inst Atom Energy, Beijing 102413, Peoples R China 2.Acad Sinica, Inst Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Kuang, ZF,Yang, MZ,Zhu, GT. Spectrum of the transport operator in a nonuniform slab with generalized boundary conditions[J]. TRANSPORT THEORY AND STATISTICAL PHYSICS,2002,31(3):273-287.
APA	Kuang, ZF,Yang, MZ,&Zhu, GT.(2002).Spectrum of the transport operator in a nonuniform slab with generalized boundary conditions.TRANSPORT THEORY AND STATISTICAL PHYSICS,31(3),273-287.
MLA	Kuang, ZF,et al."Spectrum of the transport operator in a nonuniform slab with generalized boundary conditions".TRANSPORT THEORY AND STATISTICAL PHYSICS 31.3(2002):273-287.