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.
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.
Accepted:
Published online:
Sergei Avdonin 1; Serge Nicaise 2
@article{CRMATH_2014__352_11_907_0, author = {Sergei Avdonin and Serge Nicaise}, title = {Source identification for the wave equation on graphs}, journal = {Comptes Rendus. Math\'ematique}, pages = {907--912}, publisher = {Elsevier}, volume = {352}, number = {11}, year = {2014}, doi = {10.1016/j.crma.2014.09.008}, language = {en}, }
Sergei Avdonin; Serge Nicaise. Source identification for the wave equation on graphs. Comptes Rendus. Mathématique, Volume 352 (2014) no. 11, pp. 907-912. doi : 10.1016/j.crma.2014.09.008. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2014.09.008/
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