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Stable determination of the nonlinear term in a quasilinear elliptic equation by boundary measurements
Mourad Choulli1 
1 Université de Lorraine
Comptes Rendus. Mathématique, Volume 361 (2023), pp. 1455-1470.

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.

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DOI : 10.5802/crmath.484
Classification : 35R30
Mourad Choulli 1

1 Université de Lorraine
Licence : CC-BY 4.0
Droits d'auteur : Les auteurs conservent leurs droits 
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     title = {Stable determination of the nonlinear term in a quasilinear elliptic equation by boundary measurements},
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Mourad Choulli. Stable determination of the nonlinear term in a quasilinear elliptic equation by boundary measurements. Comptes Rendus. Mathématique, Volume 361 (2023), pp. 1455-1470. doi : 10.5802/crmath.484. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.484/

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