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Weyl formula with optimal remainder estimate of some elastic networks and applications

Kaïs Ammari, Mouez Dimassi (2010)

Bulletin de la Société Mathématique de France

We consider a network of vibrating elastic strings and Euler-Bernoulli beams. 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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