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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Mourad Choulli 1
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@article{CRMATH_2023__361_G9_1455_0,
author = {Mourad Choulli},
title = {Stable determination of the nonlinear term in a quasilinear elliptic equation by boundary measurements},
journal = {Comptes Rendus. Math\'ematique},
pages = {1455--1470},
publisher = {Acad\'emie des sciences, Paris},
volume = {361},
year = {2023},
doi = {10.5802/crmath.484},
language = {en},
}
TY - JOUR AU - Mourad Choulli TI - Stable determination of the nonlinear term in a quasilinear elliptic equation by boundary measurements JO - Comptes Rendus. Mathématique PY - 2023 SP - 1455 EP - 1470 VL - 361 PB - Académie des sciences, Paris DO - 10.5802/crmath.484 LA - en ID - CRMATH_2023__361_G9_1455_0 ER -
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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