We study some hybrid inverse problems associated to BVP’s for Schrödinger and Helmholtz type equations. The inverse problems we consider consist in the determination of coefficients from the knowledge of internal energy densities. We establish local Lipschitz stability inequalities as well as Hölder stability inequalities.
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@article{CRMATH_2021__359_10_1251_0, author = {Choulli, Mourad}, title = {Some stability inequalities for hybrid inverse problems}, journal = {Comptes Rendus. Math\'ematique}, pages = {1251--1265}, publisher = {Acad\'emie des sciences, Paris}, volume = {359}, number = {10}, year = {2021}, doi = {10.5802/crmath.262}, language = {en}, url = {http://www.numdam.org/articles/10.5802/crmath.262/} }
TY - JOUR AU - Choulli, Mourad TI - Some stability inequalities for hybrid inverse problems JO - Comptes Rendus. Mathématique PY - 2021 SP - 1251 EP - 1265 VL - 359 IS - 10 PB - Académie des sciences, Paris UR - http://www.numdam.org/articles/10.5802/crmath.262/ DO - 10.5802/crmath.262 LA - en ID - CRMATH_2021__359_10_1251_0 ER -
%0 Journal Article %A Choulli, Mourad %T Some stability inequalities for hybrid inverse problems %J Comptes Rendus. Mathématique %D 2021 %P 1251-1265 %V 359 %N 10 %I Académie des sciences, Paris %U http://www.numdam.org/articles/10.5802/crmath.262/ %R 10.5802/crmath.262 %G en %F CRMATH_2021__359_10_1251_0
Choulli, Mourad. Some stability inequalities for hybrid inverse problems. Comptes Rendus. Mathématique, Tome 359 (2021) no. 10, pp. 1251-1265. doi : 10.5802/crmath.262. http://www.numdam.org/articles/10.5802/crmath.262/
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