Conditional Stability for an Inverse Problem of Determining a Space-Dependent Source Coefficient in the Advection-Dispersion Equation with Robin's Boundary Condition

被引：0

作者：

Wang, Shunqin ^{[1
]}

Sun, Chunlong ^{[2
]}

Li, Gongsheng ^{[2
]}

机构：

[1] Nanyang Normal Univ, Coll Math & Stat, Nanyang 473061, Henan, Peoples R China

[2] Shandong Univ Technol, Inst Appl Math, Zibo 255049, Shandong, Peoples R China

来源：

ABSTRACT AND APPLIED ANALYSIS | 2014年

基金：

中国国家自然科学基金;

关键词：

D O I：

10.1155/2014/598135

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with an inverse problem of determining the space-dependent source coefficient in one-dimensional advectiondispersion equation with Robin's boundary condition. Data compatibility for the inverse problem is analyzed bywhich an admissible set for the unknown is set forth. Furthermore, with the help of an integral identity, a conditional Lipschitz stability is established by suitably controlling the solution of an adjoint problem.

引用

页数：6

共 19 条

[1] A conditional Lipschitz stability for determining a space-dependent source coefficient in the 2D/3D advection-dispersion equation
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不详
J Inverse Ill Posed Probl, 2006, 2 (147-155):
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