Backward uniqueness for parabolic operators with variable coefficients in a half space

doi:10.1142/S021919971550011X

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	Backward uniqueness for parabolic operators with variable coefficients in a half space
	Wu, Jie 1; Zhang, Liqun2
	2016-02-01
发表期刊	COMMUNICATIONS IN CONTEMPORARY MATHEMATICS
ISSN	0219-1997
卷号	18 期号:1 页码:38
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.
关键词	Carleman estimates backward uniqueness Landis and Oleinik parabolic operator variable coefficient
DOI	10.1142/S021919971550011X
语种	英语
资助项目	Chinese NSF[10325104] ; innovation program at CAS ; National Basic Research Program of China[2011CB808002]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000369668100002
出版者	WORLD SCIENTIFIC PUBL CO PTE LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/21964
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.