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2014 Conditional Stability for an Inverse Problem of Determining a Space-Dependent Source Coefficient in the Advection-Dispersion Equation with Robin’s Boundary Condition
Shunqin Wang, Chunlong Sun, Gongsheng Li
Abstr. Appl. Anal. 2014: 1-6 (2014). DOI: 10.1155/2014/598135

Abstract

This paper deals with an inverse problem of determining the space-dependent source coefficient in one-dimensional advection-dispersion equation with Robin’s boundary condition. Data compatibility for the inverse problem is analyzed by which 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.

Citation

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Shunqin Wang. Chunlong Sun. Gongsheng Li. "Conditional Stability for an Inverse Problem of Determining a Space-Dependent Source Coefficient in the Advection-Dispersion Equation with Robin’s Boundary Condition." Abstr. Appl. Anal. 2014 1 - 6, 2014. https://doi.org/10.1155/2014/598135

Information

Published: 2014
First available in Project Euclid: 2 October 2014

zbMATH: 07022692
MathSciNet: MR3200790
Digital Object Identifier: 10.1155/2014/598135

Rights: Copyright © 2014 Hindawi

Vol.2014 • 2014
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