Logarithmic stability estimates for a Robin coefficient in two-dimensional Laplace inverse problems
| Autor: | Mohamed Jaoua, Juliette Leblond, I Fellah, Slim Chaabane |
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| Rok vydání: | 2003 |
| Předmět: |
Laplace's equation
Laplace expansion Applied Mathematics Mathematical analysis Inverse Laplace transform Green's function for the three-variable Laplace equation Computer Science Applications Theoretical Computer Science Overdetermined system Laplace's method Laplace transform applied to differential equations Signal Processing Two-sided Laplace transform Mathematical Physics Mathematics |
| Zdroj: | Inverse Problems. 20:47-59 |
| ISSN: | 1361-6420 0266-5611 |
| DOI: | 10.1088/0266-5611/20/1/003 |
| Popis: | We establish some global stability results together with logarithmic estimates in Sobolev norms for the inverse problem of recovering a Robin coefficient on part of the boundary of a smooth 2D domain from overdetermined measurements on the complementary part of a solution to the Laplace equation in the domain, using tools from analytic function theory. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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