We present a general spectral stability theorem for nonnegative selfadjoint operators with compact resolvents, which is based on the notion of a transition operator, and some applications to the study of the dependence of the eigenvalues of uniformly elliptic operators upon domain perturbation.
Spectral stability of elliptic selfadjoint differential operators with Dirichlet and Neumann boundary conditions
BURENKOV, VICTOR;LAMBERTI, PIER DOMENICO
2006
Abstract
We present a general spectral stability theorem for nonnegative selfadjoint operators with compact resolvents, which is based on the notion of a transition operator, and some applications to the study of the dependence of the eigenvalues of uniformly elliptic operators upon domain perturbation.File in questo prodotto:
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