Control and Inverse Problems for Partial Differential Equations on Graphs

Thursday, November 12, 2015 - 11:00am - 12:00pm
Lind 305
Sergei Avdonin (University of Alaska)
We consider control and inverse problems on metric graphs for several
types of PDEs including
the wave, heat and Schr\odinger equations. We demonstrate that, for
graphs without cycles,
unknown coefficients of the equations together with the topology of the
graph and lengths of the edges
can be recovered from the dynamical Dirichlet-to-Neumann map associated
to the boundary vertices.
For general graphs with cycles additional observations at the internal
vertices are needed for stable identification.
The corresponding exact controllability results are also proved.
MSC Code: