Carleman estimates for the Schrödinger equation and applications to an inverse problem and an observability inequality

被引：0
作者：
Ganghua Yuan
Masahiro Yamamoto
机构：
[1] Northeast Normal University,School of Mathematics and Statistics
[2] The University of Tokyo,Graduate School of Mathematical Sciences
来源：
Chinese Annals of Mathematics, Series B | 2010年 / 31卷
关键词：
Schrödinger equation; Carleman estimate; Observability inequality; Inverse problem; Unique continuation; 93B05; 35R30; 35B60;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The authors prove Carleman estimates for the Schrödinger equation in Sobolev spaces of negative orders, and use these estimates to prove the uniqueness in the inverse problem of determining Lp-potentials. An L2-level observability inequality and unique continuation results for the Schrödinger equation are also obtained.
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页码：555 / 578
页数：23
相关论文
共 59 条
[31]  
Yamamoto M.(1996)Carleman estimates and unique continuation for solutions to boundary value problem J. Math. Pures Appl. 75 367-98
[32]  
Kazemi M. A.(1999)Uniqueness and stability in multidimensional hyperbolic inverse problems J. Math. Pures Appl. 78 65-undefined
[33]  
Klibanov M. V.(undefined)undefined undefined undefined undefined-undefined
[34]  
Kenig C. E.(undefined)undefined undefined undefined undefined-undefined
[35]  
Sogge C. D.(undefined)undefined undefined undefined undefined-undefined
[36]  
Khaĭdarov A.(undefined)undefined undefined undefined undefined-undefined
[37]  
Klibanov M. V.(undefined)undefined undefined undefined undefined-undefined
[38]  
Klibanov M. V.(undefined)undefined undefined undefined undefined-undefined
[39]  
Klibanov M. V.(undefined)undefined undefined undefined undefined-undefined
[40]  
Malinsky J.(undefined)undefined undefined undefined undefined-undefined
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