6 papers
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 i…
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…
Boundary Sidewise Observability of the Wave Equation
Belhassen Dehman, Enrique Zuazua
The wave equation on a bounded domain of with non homogeneous boundary Dirichlet data or sources supported on a subset of the boundary is considered. We analyze the proble…
Semi-classical observation suffices for observability: wave and Schrödinger equations
Nicolas Burq, Belhassen Dehman, Jérôme Le Rousseau
For the wave and the Schrödinger equations we show how observability can be deduced from the observability of solutions localized in frequency according to a dyadic scale.
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…