Observability properties for discrete conservative systems
Date: Wed, Feb 4 2009
Location: Bizkaia Technology Park, Building 208B E-48170 Zamudio-Spain
Speakers: Sylvain Ervedoza
Spectral characterisations of Observability properties for discrete conservative systems
Recently, we have obtained in a joint work with Chuang Zheng and Enrique Zuazua a sharp observability results for time-discrete abstract schemes,using a new approach based on a resolvent estimate characterization of the observability. This result is very general and decouples the problems related to the time-discretization method and to the space-approximation scheme.
Following this idea, we have then developed several spectral criteria of observability for conservative systems to adapt this new technique to space discrete methods. Again, this will yield very general results for the observability of waves and Schrödinger systems. However, the optimality of our results are not obvious at all. I will explain this issue precisely.
I will then discuss several open problems related to these questions.
Non-self-adjoint operators and their spectra
Aula BCAM-UPV/EHU Seminar: Relevant phenomena in pedestrian dynamics and how to computationally model them.
Dariel Hernández (BCAM)