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 |
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Mathematics
|
Venue |
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Lecture Hall - III, Dept of Mathematics
|
Time |
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3.30 pm
|
Date |
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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 $\lambda(t)\delta_\xi$. |