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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…