Estimates of eigenvalues and eigenfunctions in elliptic homogenization with rapidly oscillating potentials | |
Zhang, Yiping1,2 | |
刊名 | JOURNAL OF DIFFERENTIAL EQUATIONS
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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. |
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