3 citations · 3 across the 3 of their papers we have counts for
3 papers
math.FA2023
Optimal decay rates in Sobolev norms for singular values of integral operators
Darko Volkov
The regularity of integration kernels forces decay rates of singular values of associated integral operators. This is well-known for symmetric operators with kernels defined on $(a…
math.AP2014★ 3 cited
Preferred Frequencies for Coupling of Seismic Waves and Vibrating Tall Buildings
Darko Volkov, Sergey Zheltukhin
We study a model for the so called "city effect" in which an earthquake can be locally enhanced by the collective response of tall buildings in a large city. We use a set of equati…
math.AP2014
Existence of Frequency Modes Coupling Seismic Waves and Vibrating Tall Buildings
Darko Volkov, Sergey Zheltukhin
We prove in this paper an existence result for frequency modes coupling seismic waves and vibrating tall buildings. The derivation from physical principles of a set of equations mo…