Determining a potential of the parabolic equation from partial boundary measurements

被引：2
|
作者：
Fan, Jiaming [1 ,2 ]
Duan, Zhiwen [1 ,2 ]
机构：
[1] Huazhong Univ Sci & Technol, Sch Math & Stat, Wuhan 430074, Peoples R China
[2] Huazhong Univ Sci & Technol, Hubei Key Lab Engn Modeling & Sci Comp, Wuhan 430074, Peoples R China
来源：
INVERSE PROBLEMS | 2021年 / 37卷 / 09期
关键词：
parabolic operator; Carleman estimate; inverse problem; complex geometrical optics solutions; INVERSE PROBLEMS; COEFFICIENT; UNIQUENESS; RECONSTRUCTION; IDENTIFICATION; OPERATOR;
D O I：
10.1088/1361-6420/ac156d
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We concern the operator partial derivative(t) - Delta + q with the Dirichlet boundary conditions on a bounded domain in R-n , n >= 3, and show that the knowledge of the Dirichlet-to-Neumann map measured on a very small subset of the boundary determines the potential uniquely.
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页数：21
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