24 citations · 97 across the 25 of their papers we have counts for
25 papers
Low energy scattering asymptotics for planar obstacles
T. J. Christiansen, K. Datchev
We compute low energy asymptotics for the resolvent of a planar obstacle, and deduce asymptotics for the corresponding scattering matrix, scattering phase, and exterior Dirichlet-t…
The semiclassical structure of the scattering matrix for a manifold with infinite cylindrical end
T. J. Christiansen, A. Uribe
We study the microlocal properties of the scattering matrix associated to the semiclassical Schrödinger operator on a Riemannian manifold with an infinite cylindrical…
Resonances for Schrödinger operators on infinite cylinders and other products
T. J. Christiansen
We study the resonances of Schrödinger operators on the infinite product , where is odd, is the unit circle, and the potential…
Resolvent estimates, wave decay, and resonance-free regions for star-shaped waveguides
T. J. Christiansen, K. Datchev
Using coordinates , we introduce the notion that an unbounded domain in is star shaped with respect to . For s…
Resonant rigidity for Schrödinger operators in even dimensions
T. J. Christiansen
This paper studies the resonances of Schrödinger operators with bounded, compactly supported, real-valued potentials on d-dimensional Euclidean space, where d is even. If the poten…
Wave asymptotics for waveguides and manifolds with infinite cylindrical ends
T. J. Christiansen, K. Datchev
We describe wave decay rates associated to embedded resonances and spectral thresholds for waveguides and manifolds with infinite cylindrical ends. We show that if the cut-off reso…