The Landis-Oleinik conjecture in the exterior domain
文献类型:期刊论文
作者 | Wu, Jie1; Zhang, Liqun2![]() |
刊名 | ADVANCES IN MATHEMATICS
![]() |
出版日期 | 2016-10-22 |
卷号 | 302页码:190-230 |
关键词 | Carleman estimates Unique continuation Backward uniqueness Landis and Oleinik Parabolic equation |
ISSN号 | 0001-8708 |
DOI | 10.1016/j.aim.2016.07.013 |
英文摘要 | In 1974, Landis and Oleinik conjectured that if a bounded solution of a parabolic equation decays fast at a time, then the solution must vanish identically before that time, provided the coefficients of the equation satisfy appropriate conditions at infinity. We prove this conjecture under some reasonable assumptions of the coefficients, which improved the earlier results. (C) 2016 Elsevier Inc. All rights reserved. |
资助项目 | Chinese NSF[11471320] ; 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:000384510600008 |
出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/23642] ![]() |
专题 | 数学所 |
通讯作者 | Wu, Jie |
作者单位 | 1.Tianjin Univ, Ctr Appl Math, Tianjin 300072, 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. The Landis-Oleinik conjecture in the exterior domain[J]. ADVANCES IN MATHEMATICS,2016,302:190-230. |
APA | Wu, Jie,&Zhang, Liqun.(2016).The Landis-Oleinik conjecture in the exterior domain.ADVANCES IN MATHEMATICS,302,190-230. |
MLA | Wu, Jie,et al."The Landis-Oleinik conjecture in the exterior domain".ADVANCES IN MATHEMATICS 302(2016):190-230. |
入库方式: OAI收割
来源:数学与系统科学研究院
浏览0
下载0
收藏0
其他版本
除非特别说明,本系统中所有内容都受版权保护,并保留所有权利。