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Subjects
35-XX Partial differential equations
35Pxx Spectral theory and eigenvalue problems
35P20 Asymptotic distribution of eigenvalues and eigenfunctions

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Weyl asymptotics for non-self-adjoint operators with small multiplicative random perturbations

Johannes Sjöstrand (2007/2008)

Séminaire Équations aux dérivées partielles

We study the Weyl asymptotics of the distribution of eigenvalues of non-self-adjoint (pseudo)differential operators with small random multiplicative perturbations in arbitrary dimension. We were led to quite essential improvements of many of the probabilistic aspects.

Weyl formula for quasi-elliptic pseudo-differential operators

F. Nicola (2001)

Rendiconti del Seminario Matematico della Università di Padova

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.

Currently displaying 1 – 3 of 3

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