27 citations · 211 across the 28 of their papers we have counts for
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math.AP2019★ 1 cited
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…
math.AP2019
Sharp polynomial decay rates for the damped wave equation with Hölder-like damping
Kiril Datchev, Perry Kleinhenz
We study decay rates for the energy of solutions of the damped wave equation on the torus. We consider dampings invariant in one direction and bounded above and below by multiples…
math.AP2019★ 8 cited
Semiclassical Estimates for Scattering on the Real Line
Kiril Datchev, Jacob Shapiro
We prove explicit semiclassical resolvent estimates for an integrable potential on the real line. The proof is a comparatively easy case of the spherical energies method, which has…