27 citations · 211 across the 28 of their papers we have counts for
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math.AP2017★ 3 cited
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…
math.AP2017
Exponential lower resolvent bounds far away from trapped sets
Kiril Datchev, Long Jin
We give examples of semiclassical Schrödinger operators with exponentially large cutoff resolvent norms, even when the supports of the cutoff and potential are very far apart. The…