Développements asymptotiques des perturbations lentes de l'opérateur de Schrödinger périodique
Formule de trace et applications
Développements asymptotiques pour des perturbations fortes de l'opérateur de Schrödinger périodique
Weyl formula with optimal remainder estimate of some elastic networks and applications
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.
Semiclassical Resonances and trace formulae for non-semi-bounded Hamiltonians
Spectral Shift Function for the Perturbations of Schrödinger Operators at High Energy
2000 Mathematics Subject Classification: 35P20, 35J10, 35Q40. We give a complete pointwise asymptotic expansion for the Spectral Shift Function for Schrödinger operators that are perturbations of the Laplacian on Rn with slowly decaying potentials.
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