Conditional stability for an inverse problem of determining a space-dependent source coefficient in the advection-dispersion equation with Robin's boundary condition (Q1724491)
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scientific article; zbMATH DE number 7022692
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Conditional stability for an inverse problem of determining a space-dependent source coefficient in the advection-dispersion equation with Robin's boundary condition |
scientific article; zbMATH DE number 7022692 |
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Conditional stability for an inverse problem of determining a space-dependent source coefficient in the advection-dispersion equation with Robin's boundary condition (English)
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14 February 2019
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Summary: 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.
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0.9155712127685548
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0.7939960956573486
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0.7838665843009949
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