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Spectral convergence of the Neumann Laplacian under perturbations of the domain

ARGOMENTI: Convegni

Giovedi' 11 Dicembre alle ore 17.00 in aula 2AB/45 il Professor Jose' Maria Arrieta della Universita' Complutense di Madrid, terra' un seminario dal titolo "Spectral convergence of the Neumann Laplacian under perturbations of the domain"

-Abstract
In this talk I will study the behavior of the eigenvalues and eigenfunctions of the Neumann Laplacian when the domain is perturbed and in particular, I will present a necessary and suficient condition for the convergence of the eigenvalues and eigenfunctions. The domain perturbation I will consider will not allow the situation of perforated domains, but will be general enough to be applied to different situations. I will also provide some interesting examples and some applications to nonlinear elliptic and parabolic problems.

Rif. int. P. D. Lamberti

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