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math.AP2023
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…
math.AP2023
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.
math.AP2023
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…