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Li Gongsheng, M. Yamamoto

Stability analysis for determining a source term in a 1-D advection-dispersion equation

In this paper, we are concerned to cope with a conditional stability for an inverse problem of deciding source terms in a 1-D advection-dispersion equation. The inverse problem here is based on a mathematical model derived from a real case in a geological region in Shandong Province, China. With aids of an integral identity and analysis for a normal Sturm-Liouville problem, a conditional stability for the inverse problem is constructed. The methodology used in this paper seems to be simple and effective as compared with those in known literatures.

Journal of Inverse and Ill-posed Problems, Walter de Gruyter

Print ISSN: 0928-0219
Volume: 14, 04/2006
Pages: 147 - 155

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