The Landis-Oleinik conjecture in the exterior domain

doi:10.1016/j.aim.2016.07.013

CSpace > 数学所

	The Landis-Oleinik conjecture in the exterior domain
	Wu, Jie 1; Zhang, Liqun2
	2016-10-22
发表期刊	ADVANCES IN MATHEMATICS
ISSN	0001-8708
卷号	302 页码:190-230
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.
关键词	Carleman estimates Unique continuation Backward uniqueness Landis and Oleinik Parabolic equation
DOI	10.1016/j.aim.2016.07.013
语种	英语
资助项目	Chinese NSF[11471320] ; innovation program at CAS ; National Basic Research Program of China[2011CB808002]
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000384510600008
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/23643
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.