58 citations · 96 across the 3 of their papers we have counts for
3 papers
math.AP2016★ 58 cited
Geometric control condition for the wave equation with a time-dependent observation domain
Jérôme Le Rousseau, Gilles Lebeau, Peppino Terpolilli +1
We characterize the observability property (and, by duality, the controllability and the stabilization) of the wave equation on a Riemannian manifold with or without boundary,…
math.AP2010★ 36 cited
Carleman estimates for elliptic operators with jumps at an interface: Anisotropic case and sharp geometric conditions
Jérôme Le Rousseau, Nicolas Lerner
We consider a second-order selfadjoint elliptic operator with an anisotropic diffusion matrix having a jump across a smooth hypersurface. We prove the existence of a weight-functio…
math.AP2008★ 2 cited
Pseudodifferential multi-product representation of the solution operator of a parabolic equation
Hiroshi Isozaki, Jérôme Le Rousseau
By using a time slicing procedure, we represent the solution operator of a second-order parabolic pseudodifferential equation on as an infinite product of zero-order pseudod…