Estimates of eigenvalues and eigenfunctions in elliptic homogenization with rapidly oscillating potentials

doi:10.1016/j.jde.2021.05.006

	Estimates of eigenvalues and eigenfunctions in elliptic homogenization with rapidly oscillating potentials
	Zhang, Yiping 1,2
刊名	JOURNAL OF DIFFERENTIAL EQUATIONS
	2021-08-15
卷号	292 页码:388-415
关键词	Homogenization Periodic coefficients Rapidly oscillating potentials Convergence rates Eigenvalues and eigenfunctions
ISSN号	0022-0396
DOI	10.1016/j.jde.2021.05.006
英文摘要	For a family of second-order elliptic equations with rapidly oscillating periodic coefficients and rapidly oscillating periodic potentials, we are interested in the H-1 convergence rates and the Dirichlet eigenvalues and bounds of the normal derivatives of Dirichlet eigenfunctions. The H-1 convergence rates rely on the Dirichlet correctors and the first-order corrector for the oscillating potentials. And the bound results rely on an O(epsilon) estimate in H (1) for solutions with Dirichlet boundary condition. (C) 2021 Elsevier Inc. All rights reserved.
WOS研究方向	Mathematics
语种	英语
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
WOS记录号	WOS:000656995900011
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/58755]
专题	中国科学院数学与系统科学研究院
通讯作者	Zhang, Yiping
作者单位	1.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Zhang, Yiping. Estimates of eigenvalues and eigenfunctions in elliptic homogenization with rapidly oscillating potentials[J]. JOURNAL OF DIFFERENTIAL EQUATIONS,2021,292:388-415.
APA	Zhang, Yiping.(2021).Estimates of eigenvalues and eigenfunctions in elliptic homogenization with rapidly oscillating potentials.JOURNAL OF DIFFERENTIAL EQUATIONS,292,388-415.
MLA	Zhang, Yiping."Estimates of eigenvalues and eigenfunctions in elliptic homogenization with rapidly oscillating potentials".JOURNAL OF DIFFERENTIAL EQUATIONS 292(2021):388-415.