Department of Mathematics

Indian Institute of Science

Bangalore 560 012

 

THESIS COLLOQUIUM

 

Speaker

:

Prof. Takeo Takahashi
Affiliation : Institut Élie Cartan de Nancy, France

Subject Area

:

Mathematics

 

Venue

:

Lecture Hall - III, Dept of Mathematics

 

Time

:

3.30 pm

 

Date  

:

February 20,2008 (Wednesday)
Title : Observability to inverse source problems for linear systems

Abstract

:

In this talk, we present a link between the problem of observability/controllability and some inverse problems. More precisely,
we show that if a system is exactly observable (i.e. if its adjoint is exactly controllable), then we can recover the source in a corresponding
system if we know the observation. We apply this theory in the example of plate equation: we can recover the position associated to a dirac function
when the source is of the form $\lambda(t)\delta_\xi$.