4 papers · 1 filter
Regional and partial observability and control of waves
Belhassen Dehman, Sylvain Ervedoza an Enrique Zuazua
We establish sharp regional observability results for solutions of the wave equation in a bounded domain of , in case where the geometric control condition…
Measure propagation along a -vector field and wave controllability on a rough compact manifold
Nicolas Burq, Belhassen Dehman, Jérôme Le Rousseau
The celebrated Rauch-Taylor/Bardos-Lebeau-Rauch geometric control condition is central in the study of the observability of the wave equation linking this property to high-frequenc…
Measure and continuous vector field at a boundary II: geodesics and support propagation
Nicolas Burq, Belhassen Dehman, Jérôme Le Rousseau
Nonnegative measures that are solutions to a transport equation with continuous coefficients have been widely studied. Because of the low regularity of the associated vector field,…
Measure and continuous vector field at a boundary I: propagation equations and wave observability
Nicolas Burq, Belhassen Dehman, Jérôme Le Rousseau
The celebrated geometric control condition of Bardos, Lebeau, and Rauch is necessary and sufficient for wave observability [1,7] and exact controllability. It requires that any poi…