46 citations · 144 across the 25 of their papers we have counts for
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3 papers · 1 filter
math.SP2014★ 2 cited
Mourre's method for a dissipative form perturbation
Julien Royer
We prove uniform resolvent estimates for an abstract operator given by a dissipative perturbation of a self-adjoint operator in the sense of forms. For this we adapt the commutator…
math-ph2014★ 10 cited
Exponential decay for the Schr{ö}dinger equation on a dissipative waveguide
Julien Royer
We prove exponential decay for the solution of the Schr{ö}dinger equation on a dissipative waveguide. The absorption is effective everywhere on the boundary but the geometric contr…
math.AP2014★ 8 cited
Sharp low frequency resolvent estimates on asymptotically conical manifolds
Jean-Marc Bouclet, Julien Royer
On a class of asymptotically conical manifolds, we prove two types of low frequency estimates for the resolvent of the Laplace-Beltrami operator. The first result is a uniform $ L^…