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math.SP2017★ 11 cited
Self-adjoint and skew-symmetric extensions of the Laplacian with singular Robin boundary condition
Sergei A. Nazarov, Nicolas Popoff
We study the Laplacian in a smooth bounded domain, with a varying Robin boundary condition singular at one point. The associated quadratic form is not semi-bounded from below, and…
math-ph2017
Resonances near Thresholds in slightly Twisted Waveguides
Vincent Bruneau, Pablo Miranda, Nicolas Popoff
We consider the Dirichlet Laplacian in a straight three dimensional waveguide with non-rotationally invariant cross section, perturbed by a twisting of small amplitude. It is well…