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Comptes Rendus Mathématique
Volume 352, n° 11
pages 907-912 (novembre 2014)
Doi : 10.1016/j.crma.2014.09.008
Received : 24 July 2014 ;  accepted : 12 September 2014
Source identification for the wave equation on graphs
Identification de sources pour l'équation des ondes sur des graphes
 

Sergei Avdonin a , Serge Nicaise b
a Dept. of Mathematics and Statistics, University of Alaska, Fairbanks, AK 99775, USA 
b Université de Valenciennes et du Hainaut Cambrésis, LAMAV, FR CNRS 2956, 59313 Valenciennes cedex 9, France 

Abstract

We consider source identification problems for the wave equation on an interval and on trees. The main advantage of our approach is its locality . Our algorithm reduces essentially to the resolution of a linear integral Volterra equation of the second kind and is new even for an interval.

The full text of this article is available in PDF format.
Résumé

Nous considérons un problème d'identification de sources pour l'équation des ondes sur un intervalle ou sur des arbres. L'avantage principal de notre approche est sa localité . Notre algorithme se réduit essentiellement à la résolution d'une équation intégrale de Volterra du second ordre et est nouveau, même pour un intervalle.

The full text of this article is available in PDF format.


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