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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Bibliographic Details
Main Author: Choulli, Mourad
Format: Article
Language:English
Published: Académie des sciences 2023-11-01
Series:Comptes Rendus. Mathématique
Online Access:https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.484/
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