5 citations · 9 across the 10 of their papers we have counts for
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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…
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…
Floquet Problem and Center Manifold Reduction for Ordinary Differential Operators with Periodic Coefficients in Hilbert Spaces
Vladimir Kozlov, Jari Taskinen
A first order differential equation with a periodic operator coefficient acting in a pair of Hilbert spaces is considered. This setting models both elliptic equations with periodic…
Plummeting and blinking eigenvalues of the Robin Laplacian in a cuspidal domain
Sergei A. Nazarov, Nicolas Popoff, Jari Taskinen
We consider the Robin Laplacian in the domains and , , with sharp and blunted cusps, respectively. Assuming that the Robin coefficient is lar…
"Blinking eigenvalues" of the Steklov problem generate the continuous spectrum in a cuspidal domain
Sergei A. Nazarov, Jari Taskinen
We study the Steklov spectral problem for the Laplace operator in a bounded domain , , with a cusp such that the continuous spectrum of the problem…