20 citations · 96 across the 22 of their papers we have counts for
4 papers · 1 filter
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…
Criteria for the Absence and Existence of Bounded Solutions at the Threshold Frequency in a Junction of Quantum Waveguides
Fedor L. Bakharev, Sergei A. Nazarov
In the junction of several semi-infinite cylindrical waveguides we consider the Dirichlet Laplacian whose continuous spectrum is the ray with a positive…
Invisibility and perfect reflectivity in waveguides with finite length branches
Lucas Chesnel, Sergei A. Nazarov, Vincent Pagneux
We consider a time-harmonic wave problem, appearing for example in water-waves and in acoustics, in a setting such that the analysis reduces to the study of a 2D waveguide problem…
Trapped modes in zigzag graphene nanoribbons
V. A. Kozlov, S. A. Nazarov, A. Orlof
We study a scattering on an ultra-low potential in zigzag graphene nanoribbon. Using mathematical framework based on the continuous Dirac model and augumented scattering matrix, we…