5 citations · 9 across the 10 of their papers we have counts for
4 papers · 1 filter
Band-gap structure of the spectrum of the water-wave problem in a shallow canal with a periodic family of deep pools
Sergei A. Nazarov, Jari Taskinen
We consider the linear water-wave problem in a periodic channel , which is shallow except for a periodic array of deep potholes in it. Motivated by applic…
Dispersion relations and spectra of periodically perforated structures
Peter Kuchment, Jari Taskinen
We establish absolute continuity of the spectrum of a periodic Schrödiner operator in R^n with periodic perforations. We also prove analytic dependece of the dispersion relation on…
On the boundedness of Toeplitz operators with radial symbols over weighted sup-norm spaces of holomorphic functions
José Bonet, Wolfgang Lusky, Jari Taskinen
We prove sufficient conditions for the boundedness and compactness of Toeplitz operators in weighted sup-normed Banach spaces of holomorphic functions defined on…
Surface waves in a channel with thin tunnels and wells at the bottom: non-reflecting underwater tomography
Lucas Chesnel, Sergei A. Nazarov, Jari Taskinen
We consider the propagation of surface water waves in a straight planar channel perturbed at the bottom by several thin curved tunnels and wells. We propose a method to construct n…