Magda Khalile

activity

20162019

most citedEigenvalues of Robin Laplacians in infinite sectors

27 citations · 36 across the 3 of their papers we have counts for

collaborators

4 papers

math.SP2019

Spectral isoperimetric inequalities for Robin Laplacians on 2-manifolds and unbounded cones

Magda Khalile, Vladimir Lotoreichik

We consider the problem of geometric optimization of the lowest eigenvalue for the Laplacian on a compact, simply-connected two-dimensional manifold with boundary subject to an att…

math.SP2018★ 9 cited

Effective operators for Robin eigenvalues in domains with corners

Magda Khalile, Thomas Ourmières-Bonafos, Konstantin Pankrashkin

We study the eigenvalues of the Laplacian with a strong attractive Robin boundary condition in curvilinear polygons. It was known from previous works that the asymptotics of severa…

math.SP2017

Spectral asymptotics for Robin Laplacians on polygonal domains

Magda Khalile

Let $Ω$ be a curvilinear polygon and $Q_{Ω}^{γ}$ be the Laplacian in $L^{2} (Ω)$ , $Q_{Ω}^{γ} ψ = - Δ ψ$ , with the Robin boundary condition $\partial_{ν} ψ = γ ψ$ , where $\partial_{ν}$ is the outer normal…

math.SP2016★ 27 cited

Eigenvalues of Robin Laplacians in infinite sectors

Magda Khalile, Konstantin Pankrashkin

For $α \in (0, π)$ , let $U_{α}$ denote the infinite planar sector of opening $2 α$ , \[ U_α=\big\{ (x_1,x_2)\in\mathbb R^2: \big|\arg(x_1+ix_2) \big|<α\big\}, \] and $T_{α}^{γ}$ be the Laplac…