Comptes Rendus
no. 21-22
Partial differential equations/Mathematical problems in mechanics
Reconstruction of extended sources with small supports in the elliptic equation Δu+μu=F from a single Cauchy data
[Reconstruction de sources dont le support est de petite taille, dans lʼéquation elliptique Δu+μu=F, à partir dʼune seule donnée de Cauchy]

Présenté par : Olivier Pironneau

Batoul Abdelaziz1 ; Abdellatif El Badia1 ; Ahmad El Hajj1
1 Université de Technologie de Compiègne, LMAC, 60205 Compiègne cedex, France
Comptes Rendus. Mathématique, Volume 351 (2013) no. 21-22, pp. 797-801.

Cette Note porte sur une méthode algébrique permettant de résoudre un problème inverse de sources dans lʼéquation elliptique Δu+μu=F 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.

This Note focuses on an algebraic reconstruction method allowing to solve an inverse source problem in the elliptic equation Δu+μu=F from a single Cauchy data. The source term F is a distributed function having compact support within a finite number of small subdomains.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2013.10.010
Batoul Abdelaziz 1 ; Abdellatif El Badia 1 ; Ahmad El Hajj 1

1 Université de Technologie de Compiègne, LMAC, 60205 Compiègne cedex, France 
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     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},
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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/

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