3 papers
math.AP2026
Timelike curves: homotopies and domain of determinacy
Jérôme Le Rousseau, Jeffrey B. Rauch
This paper studies domains of determination of linear strictly hyperbolic second order operators . For an open set , a set is a domain of determination when the…
math.AP2024
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,…
math.AP2024
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…