This Note focuses on an algebraic reconstruction method allowing to solve an inverse source problem in the elliptic equation from a single Cauchy data. The source term F is a distributed function having compact support within a finite number of small subdomains.
Cette Note porte sur une méthode algébrique permettant de résoudre un problème inverse de sources dans lʼéquation elliptique à partir dʼune seule donnée de Cauchy. Le terme source F est une fonction distribuée à support compact contenu dans un ensemble fini de sous-domaines de petites tailles.
Accepted:
Published online:
Batoul Abdelaziz 1; Abdellatif El Badia 1; Ahmad El Hajj 1
@article{CRMATH_2013__351_21-22_797_0, author = {Batoul Abdelaziz and Abdellatif El Badia and Ahmad El Hajj}, title = {Reconstruction of extended sources with small supports in the elliptic equation $ \mathrm{\Delta }u+\mu u=F$ from a single {Cauchy} data}, journal = {Comptes Rendus. Math\'ematique}, pages = {797--801}, publisher = {Elsevier}, volume = {351}, number = {21-22}, year = {2013}, doi = {10.1016/j.crma.2013.10.010}, language = {en}, }
TY - JOUR AU - Batoul Abdelaziz AU - Abdellatif El Badia AU - Ahmad El Hajj TI - Reconstruction of extended sources with small supports in the elliptic equation $ \mathrm{\Delta }u+\mu u=F$ from a single Cauchy data JO - Comptes Rendus. Mathématique PY - 2013 SP - 797 EP - 801 VL - 351 IS - 21-22 PB - Elsevier DO - 10.1016/j.crma.2013.10.010 LA - en ID - CRMATH_2013__351_21-22_797_0 ER -
%0 Journal Article %A Batoul Abdelaziz %A Abdellatif El Badia %A Ahmad El Hajj %T Reconstruction of extended sources with small supports in the elliptic equation $ \mathrm{\Delta }u+\mu u=F$ from a single Cauchy data %J Comptes Rendus. Mathématique %D 2013 %P 797-801 %V 351 %N 21-22 %I Elsevier %R 10.1016/j.crma.2013.10.010 %G en %F CRMATH_2013__351_21-22_797_0
Batoul Abdelaziz; Abdellatif El Badia; Ahmad El Hajj. Reconstruction of extended sources with small supports in the elliptic equation $ \mathrm{\Delta }u+\mu u=F$ from a single Cauchy data. Comptes Rendus. Mathématique, Volume 351 (2013) no. 21-22, pp. 797-801. doi : 10.1016/j.crma.2013.10.010. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2013.10.010/
[1] B. Abdelaziz, A. El Badia, A. El Hajj, Reconstruction method for solving some inverse source problems in the elliptic equation from a single Cauchy data, submitted for publication.
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