KMS Of Academy of mathematics and systems sciences, CAS
| Estimates of eigenvalues and eigenfunctions in elliptic homogenization with rapidly oscillating potentials | |
| Zhang, Yiping1,2 | |
| 2021-08-15 | |
| Source Publication | JOURNAL OF DIFFERENTIAL EQUATIONS
 |
| ISSN | 0022-0396 |
| Volume | 292Pages:388-415 |
| Abstract | 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. |
| Keyword | Homogenization Periodic coefficients Rapidly oscillating potentials Convergence rates Eigenvalues and eigenfunctions |
| DOI | 10.1016/j.jde.2021.05.006 |
| Indexed By | SCI |
| Language | 英语 |
| WOS Research Area | Mathematics |
| WOS Subject | Mathematics |
| WOS ID | WOS:000656995900011 |
| Publisher | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/58756 |
| Collection | 中国科学院数学与系统科学研究院 |
| Corresponding Author | Zhang, Yiping |
| Affiliation | 1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China |
| Recommended Citation 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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