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

页码：2126 / 2138

页数：13

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