High-frequency limit of the Helmholtz equation with variable refraction index

doi:10.1016/j.jfa.2005.06.003

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	High-frequency limit of the Helmholtz equation with variable refraction index
	Wang, XP ; Zhang, P
	2006
发表期刊	JOURNAL OF FUNCTIONAL ANALYSIS
ISSN	0022-1236
卷号	230 期号:1 页码:116-168
摘要	We study the high-frequency limit of the Helmholtz equation with variable refraction index and a source term concentrated near a p-dimensional affine subspace. Under some conditions, we first derive uniform estimates in Besov spaces for the solutions. Then, we prove that the semi-classical measure associated with these solutions satisfies the stationary Liouville equation with an explicit source term and has certain radiation property at infinity. (c) 2005 Elsevier Inc. All rights reserved.
关键词	Helmholtz equation semi-classical measure high frequency limit uniform resolvent estimates Schroedinger operator Liouville equation
DOI	10.1016/j.jfa.2005.06.003
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000233877500004
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/2774
专题	数学所
通讯作者	Wang, XP
作者单位	1.Univ Nantes, CNRS, UMR 6629, Lab Jean Leray,Dept Math, F-44322 Nantes, France 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Wang, XP,Zhang, P. High-frequency limit of the Helmholtz equation with variable refraction index[J]. JOURNAL OF FUNCTIONAL ANALYSIS,2006,230(1):116-168.
APA	Wang, XP,&Zhang, P.(2006).High-frequency limit of the Helmholtz equation with variable refraction index.JOURNAL OF FUNCTIONAL ANALYSIS,230(1),116-168.
MLA	Wang, XP,et al."High-frequency limit of the Helmholtz equation with variable refraction index".JOURNAL OF FUNCTIONAL ANALYSIS 230.1(2006):116-168.