Spectral behavior of higher order operators under perturbation of the domain
Vortrag von Jose M. Arrieta
Sprecher eingeladen von: Prof. Dr. Stefan Sauter
Datum: 05.12.13 Zeit: 16.00 - 17.00 Raum: Y27H25
We analyze the spectral behavior of higher-order elliptic operators when the domain is perturbed. We provide general spectral stability results for Dirichlet and Neumann boundary conditions. Moreover, we study the bi-harmonic operator with the so-called intermediate boundary conditions. We give special attention to this last case and analyze its behavior when the boundary of the domain has some oscillatory behavior. We will show that there is a critical oscillatory behavior and that the limit problem depends on whether we are above, below or just sitting on this critical value. (Join work with Pier D. Lamberti, from University of Padova)