Nous considérons un réseau de cordes. En utilisant une formule de Poisson généralisée et un théorème Taubérien nous prouvons une formule de Weyl avec reste optimal. Comme conséquence nous prouvons un résultat d'observablité et de stabilisation.
We consider a network of vibrating elastic strings. Using a generalized Poisson formula and some Tauberian theorem, we give a Weyl formula with optimal remainder estimate. As a consequence we prove some observability and stabilization results.
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@article{CRMATH_2009__347_1-2_33_0, author = {Ammari, Ka{\"\i}s and Dimassi, Mouez}, title = {Observation of some elastic networks}, journal = {Comptes Rendus. Math\'ematique}, pages = {33--37}, publisher = {Elsevier}, volume = {347}, number = {1-2}, year = {2009}, doi = {10.1016/j.crma.2008.11.008}, language = {en}, url = {http://archive.numdam.org/articles/10.1016/j.crma.2008.11.008/} }
TY - JOUR AU - Ammari, Kaïs AU - Dimassi, Mouez TI - Observation of some elastic networks JO - Comptes Rendus. Mathématique PY - 2009 SP - 33 EP - 37 VL - 347 IS - 1-2 PB - Elsevier UR - http://archive.numdam.org/articles/10.1016/j.crma.2008.11.008/ DO - 10.1016/j.crma.2008.11.008 LA - en ID - CRMATH_2009__347_1-2_33_0 ER -
Ammari, Kaïs; Dimassi, Mouez. Observation of some elastic networks. Comptes Rendus. Mathématique, Tome 347 (2009) no. 1-2, pp. 33-37. doi : 10.1016/j.crma.2008.11.008. http://archive.numdam.org/articles/10.1016/j.crma.2008.11.008/
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