An inverse problem for a hyperbolic system in a bounded domain
In this Note we consider a two-by-two hyperbolic system defined on a bounded domain. Using Carleman inequalities, we obtain a Lipschitz stability result for the four spatially varying coefficients with measurements of only one component, given two sets of initial conditions.
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| Format: | Article |
| Language: | English |
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Académie des sciences
2023-03-01
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| Series: | Comptes Rendus. Mathématique |
| Online Access: | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.431/ |
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| _version_ | 1825206245886263296 |
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| author | Cardoulis, Laure |
| author_facet | Cardoulis, Laure |
| author_sort | Cardoulis, Laure |
| collection | DOAJ |
| description | In this Note we consider a two-by-two hyperbolic system defined on a bounded domain. Using Carleman inequalities, we obtain a Lipschitz stability result for the four spatially varying coefficients with measurements of only one component, given two sets of initial conditions. |
| format | Article |
| id | doaj-art-8c65791e8fd14726a19e40068e910e4b |
| institution | Kabale University |
| issn | 1778-3569 |
| language | English |
| publishDate | 2023-03-01 |
| publisher | Académie des sciences |
| record_format | Article |
| series | Comptes Rendus. Mathématique |
| spelling | doaj-art-8c65791e8fd14726a19e40068e910e4b2025-02-07T11:07:00ZengAcadémie des sciencesComptes Rendus. Mathématique1778-35692023-03-01361G365366510.5802/crmath.43110.5802/crmath.431An inverse problem for a hyperbolic system in a bounded domainCardoulis, Laure0Aix Marseille Univ, CNRS, Centrale Marseille, I2M, Marseille, France.In this Note we consider a two-by-two hyperbolic system defined on a bounded domain. Using Carleman inequalities, we obtain a Lipschitz stability result for the four spatially varying coefficients with measurements of only one component, given two sets of initial conditions.https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.431/ |
| spellingShingle | Cardoulis, Laure An inverse problem for a hyperbolic system in a bounded domain Comptes Rendus. Mathématique |
| title | An inverse problem for a hyperbolic system in a bounded domain |
| title_full | An inverse problem for a hyperbolic system in a bounded domain |
| title_fullStr | An inverse problem for a hyperbolic system in a bounded domain |
| title_full_unstemmed | An inverse problem for a hyperbolic system in a bounded domain |
| title_short | An inverse problem for a hyperbolic system in a bounded domain |
| title_sort | inverse problem for a hyperbolic system in a bounded domain |
| url | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.431/ |
| work_keys_str_mv | AT cardoulislaure aninverseproblemforahyperbolicsysteminaboundeddomain AT cardoulislaure inverseproblemforahyperbolicsysteminaboundeddomain |