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20062026
most citedOn the negative spectrum of the Robin Laplacian in corner domains

21 citations · 64 across the 16 of their papers we have counts for

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Showing 2016 · math.SPShow all

3 papers · 2 filters

math.SP2016

Spectral Properties of Harmonic Toeplitz Operators and Applications to the Perturbed Krein Laplacian

Vincent Bruneau, Georgi Raikov

We consider harmonic Toeplitz operators where is the orthogonal projection onto ${\mathcal H}(Ω) = \l…

math.SP2016

Threshold Singularities of the Spectral Shift Function for a Half-Plane Magnetic Hamiltonian

Vincent Bruneau, Pablo Miranda

We consider the Schrödinger operator with constant magnetic field defined on the half-plane with a Dirichlet boundary condition, , and a decaying electric perturbation . We…

math.SP2016★ 11 cited

Eigenvalue counting function for Robin Laplacians on conical domains

Vincent Bruneau, Konstantin Pankrashkin, Nicolas Popoff

We study the discrete spectrum of the Robin Laplacian in , \[ u\mapsto -Δu, \quad \dfrac{\partial u}{\partial n}=αu \text{ on }\partialΩ, \] where $Ω\subset \mathbb…