Y. Dermenjian

collaborators

2 papers

math.AP2019

Concentration and confinement of eigenfunctions in a bounded open set (version 2)

Assia Benabdallah, Matania Ben-Artzi, Yves Dermenjian

Consider the Dirichlet-Laplacian in $Ω := (0, L) \times (0, H)$ and choose another open set $ω \subset Ω$ . The estimate $0<C_ω\leq R_ω(u):=\frac{\Vert u\Vert^{2}_{L^{2}(ω)}}{\Vert u\Ver…

math.AP2012

On the guided states of 3D biperiodic Schrödinger operators

François Bentosela, Claude Bourrely, Yves Dermenjian +1

We consider the Laplacian operator H_0 perturbed by a non-positive potential $V$ , which is periodic in two directions, and decays in the remaining one. We are interested in the cha…