Control of Partial Differential Equations

The aim of this project is to
study the control of systems
described by bilinear and
semilinear partial
differential equations
(PDEs). These PDEs could for
example describe the
propagation waves or the
temperature profile of a
body. Controllability is the
property of being able to
drive a system to a desired
state in finite time. The
essential ingredient in the
analysis of controllability
problems is obtaining
estimates for the energy of
these systems. These energy
estimates are then combined
with the Hilbert Uniqueness
Method, Fixed Point Theorems
and the Generalized Inverse
Function Theorem in order to
obtain controllability
results.