Uniqueness and stability of an inverse problem for a phase field model using data from one component

被引：4
|
作者：
Wu, Bin [1 ]
Chen, Qun [1 ]
Wang, Zewen [2 ]
机构：
[1] Nanjing Univ Informat Sci & Technol, Sch Math & Stat, Nanjing 210044, Jiangsu, Peoples R China
[2] E China Inst Technol, Sch Sci, Dept Math, Nanchang 330013, Peoples R China
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2013年 / 66卷 / 10期
关键词：
Phase field model; Inverse problem; Carleman estimate; Lipschitz stability; Uniqueness; LIPSCHITZ STABILITY; SYSTEM;
D O I：
10.1016/j.camwa.2013.09.005
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study an inverse problem of determining a spatial varying coefficient in a parabolic-hyperbolic phase field model with the following observation data of only one component: the order parameter in a subdomain omega satisfying partial derivative omega superset of partial derivative Omega along a sufficiently large time interval and at a suitable time over the whole spatial domain. Based on a Carleman estimate for the parabolic-hyperbolic phase field system, we prove the Lipschitz stability and uniqueness for this inverse problem. (C) 2013 Elsevier Ltd. All rights reserved.
引用
收藏
页码：2126 / 2138
页数：13
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