Stable determination of the nonlinear term in a quasilinear elliptic equation by boundary measurements
We establish a Lipschitz stability inequality for the problem of determining the nonlinear term in a quasilinear elliptic equation by boundary measurements. We give a proof based on a linearization procedure together with special solutions constructed from the fundamental solution of the linearized...
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| Format: | Article |
| Language: | English |
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Académie des sciences
2023-11-01
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| Series: | Comptes Rendus. Mathématique |
| Online Access: | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.484/ |
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| _version_ | 1825206239048499200 |
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| author | Choulli, Mourad |
| author_facet | Choulli, Mourad |
| author_sort | Choulli, Mourad |
| collection | DOAJ |
| description | We establish a Lipschitz stability inequality for the problem of determining the nonlinear term in a quasilinear elliptic equation by boundary measurements. We give a proof based on a linearization procedure together with special solutions constructed from the fundamental solution of the linearized problem. |
| format | Article |
| id | doaj-art-787116fa86b24e47aeb4858a2cfcd767 |
| institution | Kabale University |
| issn | 1778-3569 |
| language | English |
| publishDate | 2023-11-01 |
| publisher | Académie des sciences |
| record_format | Article |
| series | Comptes Rendus. Mathématique |
| spelling | doaj-art-787116fa86b24e47aeb4858a2cfcd7672025-02-07T11:10:50ZengAcadémie des sciencesComptes Rendus. Mathématique1778-35692023-11-01361G91455147010.5802/crmath.48410.5802/crmath.484Stable determination of the nonlinear term in a quasilinear elliptic equation by boundary measurementsChoulli, Mourad0Université de LorraineWe establish a Lipschitz stability inequality for the problem of determining the nonlinear term in a quasilinear elliptic equation by boundary measurements. We give a proof based on a linearization procedure together with special solutions constructed from the fundamental solution of the linearized problem.https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.484/ |
| spellingShingle | Choulli, Mourad Stable determination of the nonlinear term in a quasilinear elliptic equation by boundary measurements Comptes Rendus. Mathématique |
| title | Stable determination of the nonlinear term in a quasilinear elliptic equation by boundary measurements |
| title_full | Stable determination of the nonlinear term in a quasilinear elliptic equation by boundary measurements |
| title_fullStr | Stable determination of the nonlinear term in a quasilinear elliptic equation by boundary measurements |
| title_full_unstemmed | Stable determination of the nonlinear term in a quasilinear elliptic equation by boundary measurements |
| title_short | Stable determination of the nonlinear term in a quasilinear elliptic equation by boundary measurements |
| title_sort | stable determination of the nonlinear term in a quasilinear elliptic equation by boundary measurements |
| url | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.484/ |
| work_keys_str_mv | AT choullimourad stabledeterminationofthenonlinearterminaquasilinearellipticequationbyboundarymeasurements |