Magda Khalile

activity

20172019

collaborators

3 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

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…