# Spectral stability of uniformly elliptic differential operators

ARGOMENTI: Convegni

SEMINARI DI EQUAZIONI DIFFERENZIALI E APPLICAZIONI
Giovedi' 21 febbraio alle ore 12.15 in aula 2BC/30 della Torre Archimede il professor Victor Burenkov del Dipartimento di Matematica Pura e Applicata terra' un seminario dal titolo "Spectral stability of uniformly elliptic differential operators".

-Abstract
The estimates will be discussed for the variation of the eigenvalues of second order uniformly elliptic differential operators with homogeneous Dirichlet orNeumann boundary conditions upon variation of the open set on which an operatoris defined. The main estimate is expressed via a natural and easily computabledistance between open sets with continuous boundaries. Other estimates are vialower Hausdorff-Pompeiu deviation of the boundaries and, under strongerregularity assumptions on the boundaries, via the Lebeasgue measure of thesymmetric difference of the sets. In the case of diffeomorphic open sets someestimates are obtained even without the assumption of continuity of the boundaries.

p.s.: per la presenza di studenti di dottorato stranieri, il professore terra' il seminario in inglese.

Rif. int. M. Bardi, G. Colombo, A. Cesaroni.