Semiclassical spectral instability of non-self-adjoint operators. II. (Instabilité spectrale semiclassique d’opérateurs non-autoadjoints. II.) (French) Zbl 1115.81032

Summary: In this work, we consider analytic (pseudo-)differential operators as well as random perturbations. We show for the perturbed operators that with probability almost 1, the eigenvalues inside a subdomain of the pseudospectrum are distributed according to a bidimensional Weyl law.
[For Part I see the review above: the author, Ann. Fac. Sci. Toulouse, Math. (6) 15, No. 2, 243–280 (2006; Zbl 1114.81042).]


81Q20 Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory
81Q10 Selfadjoint operator theory in quantum theory, including spectral analysis
35P20 Asymptotic distributions of eigenvalues in context of PDEs
47B25 Linear symmetric and selfadjoint operators (unbounded)
35R60 PDEs with randomness, stochastic partial differential equations
47G30 Pseudodifferential operators


Zbl 1114.81042
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