Voir la notice de l'article provenant de la source Numdam
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.
Choulli, Mourad 1
CC-BY 4.0
@article{CRMATH_2023__361_G9_1455_0,
author = {Choulli, Mourad},
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},
number = {G9},
year = {2023},
doi = {10.5802/crmath.484},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.5802/crmath.484/}
}
TY - JOUR AU - Choulli, Mourad 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 IS - G9 PB - Académie des sciences, Paris UR - http://geodesic.mathdoc.fr/articles/10.5802/crmath.484/ DO - 10.5802/crmath.484 LA - en ID - CRMATH_2023__361_G9_1455_0 ER -
%0 Journal Article %A Choulli, Mourad %T Stable determination of the nonlinear term in a quasilinear elliptic equation by boundary measurements %J Comptes Rendus. Mathématique %D 2023 %P 1455-1470 %V 361 %N G9 %I Académie des sciences, Paris %U http://geodesic.mathdoc.fr/articles/10.5802/crmath.484/ %R 10.5802/crmath.484 %G en %F CRMATH_2023__361_G9_1455_0
Choulli, Mourad. Stable determination of the nonlinear term in a quasilinear elliptic equation by boundary measurements. Comptes Rendus. Mathématique, Tome 361 (2023) no. G9, pp. 1455-1470. doi: 10.5802/crmath.484
Cité par Sources :