Spectral stability for higher order elliptic operators subject to homogeneous boundary conditions on varying domains
Event details
| Date | 30.11.2016 |
| Hour | 15:00 › 16:15 |
| Speaker | Prof. Pier Domenico Lamberti (Università degli Studi di Padova) |
| Location |
MA 10
|
| Category | Conferences - Seminars |
We consider elliptic partial differential operators of second and higher order, subject to homogeneous boundary conditions on bounded domains of the N-dimensional Euclidean space. We discuss a general theorem ensuring their spectral stability upon perturbation of the underlying domain, in the frame of so-called E-compact convergence. We discuss some applications to the case of the bi-harmonic operator with Dirichlet, Neumann and Intermediate boundary conditions. In particular, in the case of Intermediate boundary conditions, we analyze the limiting behavior of the problem when the boundary of the domain is described by a periodic oscillatory profile depending on a parameter. We show that there is a critical parameter such that the limiting problem depends on whether we are above, below or just sitting on such critical value. The critical case leads to the study of a somewhat typical homogenization problem and provides a limiting strange term which plays the role of a “strange curvature”. Time permitting, boundary homogenization for the triharmonic operator will also be considered.
Based on joint works with José M. Arrieta and Francesco Ferraresso.
Based on joint works with José M. Arrieta and Francesco Ferraresso.
Practical information
- General public
- Free
Organizer
- Luigi Provenzano