High-frequency limit of the Helmholtz equation with variable refraction index
文献类型：期刊论文
| 作者 | Wang, XP; Zhang, P
|
| 刊名 | JOURNAL OF FUNCTIONAL ANALYSIS
 |
| 出版日期 | 2006 |
| 卷号 | 230期号:1页码:116-168 |
| 关键词 | Helmholtz equation semi-classical measure high frequency limit uniform resolvent estimates Schroedinger operator Liouville equation |
| ISSN号 | 0022-1236 |
| DOI | 10.1016/j.jfa.2005.06.003 |
| 英文摘要 | 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. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000233877500004 |
| 出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/2773]  |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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