20 citations · 96 across the 22 of their papers we have counts for
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math.AP2018
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…
math.AP2018
"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…
math.AP2018
Non reflection and perfect reflection via Fano resonance in waveguides
Lucas Chesnel, Sergei A. Nazarov
We investigate a time-harmonic wave problem in a waveguide. By means of asymptotic analysis techniques, we justify the so-called Fano resonance phenomenon. More precisely, we show…