Backward uniqueness for parabolic operators with variable coefficients in a half space
文献类型：期刊论文
| 作者 | Wu, Jie1; Zhang, Liqun2
|
| 刊名 | COMMUNICATIONS IN CONTEMPORARY MATHEMATICS
 |
| 出版日期 | 2016-02-01 |
| 卷号 | 18期号:1页码:38 |
| 关键词 | Carleman estimates backward uniqueness Landis and Oleinik parabolic operator variable coefficient |
| ISSN号 | 0219-1997 |
| DOI | 10.1142/S021919971550011X |
| 英文摘要 | It is shown that a function u satisfying vertical bar partial derivative(t)u+ Sigma(i,j) partial derivative(i)(a(ij)partial derivative(j)u)vertical bar <= N(vertical bar u vertical bar+vertical bar del u vertical bar), vertical bar u( x, t)vertical bar <= Ne-N| x| 2 in R-+(n) x [0, T] and u(x, 0) = 0 in R-+(n) under certain conditions on {a(ij)} must vanish identically in R-+(n) x [0, T]. The main point of the result is that the conditions imposed on {a(ij)} are of this type: {a(ij)} are Lipschitz and vertical bar del(x)a(ij) (x, t)vertical bar <= E/vertical bar x vertical bar, where E is less than a given number, and the conditions are optimal in some sense. |
| 资助项目 | Chinese NSF[10325104] ; innovation program at CAS ; National Basic Research Program of China[2011CB808002] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000369668100002 |
| 出版者 | WORLD SCIENTIFIC PUBL CO PTE LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/21963]  |
| 专题 | 数学所 |
| 通讯作者 | Wu, Jie; Zhang, Liqun |
| 作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Math, Beijing 100190, Peoples R China 2.Chinese Acad Sci, Hua Loo Keng Key Lab Math, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Wu, Jie,Zhang, Liqun. Backward uniqueness for parabolic operators with variable coefficients in a half space[J]. COMMUNICATIONS IN CONTEMPORARY MATHEMATICS,2016,18(1):38. |
| APA | Wu, Jie,&Zhang, Liqun.(2016).Backward uniqueness for parabolic operators with variable coefficients in a half space.COMMUNICATIONS IN CONTEMPORARY MATHEMATICS,18(1),38. |
| MLA | Wu, Jie,et al."Backward uniqueness for parabolic operators with variable coefficients in a half space".COMMUNICATIONS IN CONTEMPORARY MATHEMATICS 18.1(2016):38. |
入库方式： OAI收割
来源：数学与系统科学研究院
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