89 citations · 1.1k across the 43 of their papers we have counts for
Showing 2014 · math.APShow all
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math.AP2014★ 29 cited
Spectral gaps for normally hyperbolic trapping
Semyon Dyatlov
We establish a resonance free strip for codimension 2 symplectic normally hyperbolic trapped sets with smooth incoming/outgoing tails. An important application is wave decay on Ker…
math.AP2014★ 23 cited
Resonances and lower resolvent bounds
Kiril Datchev, Semyon Dyatlov, Maciej Zworski
We show how the presence of resonances close to the real axis implies exponential lower bounds on the norm of the cut-off resolvent on the real axis.