T. Christiansen

activity

20002005

most citedSchrödinger operators with complex-valued potentials and no resonances

6 citations · 12 across the 4 of their papers we have counts for

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math.SP2003

Asymptotics for a resonance-counting function for potential scattering on cylinders

T. Christiansen

We study certain resonance-counting functions for potential scattering on infinite cylinders or half-cylinders. Under certain conditions on the potential, we obtain asymptotics of…

math.SP2003★ 1 cited

Resonances for steplike potentials: forward and inverse results

T. Christiansen

We consider resonances associated to the operator $- \frac{d ^{2}}{d x ^{2}} + V (x)$ , where $V (x) = V_{+}$ if $x > x_{M}$ and $V (x) = V_{-}$ if $x < - x_{M}$ , with $V_{+} \neq = V_{-}$ . We obtain asymptotics of t…

math.SP2000

Scattering on stratified media: the micro-local properties of the scattering matrix and recovering asymptotics of perturbations

T. J. Christiansen, M. S. Joshi

The fixed energy scattering matrix is defined on a perturbed stratified medium, and for a class of perturbations, its main part is shown to be a Fourier integral operator on the sp…