Y. Dermenjian

activity

20122026

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

1 citations · 1 across the 4 of their papers we have counts for

collaborators

5 papers

math.SP2026

Inverse scattering in an asymptotically flat multilayer domain

Michel Cristofol, Yves Dermenjian, Hiroshi Isozaki +1

We consider a scattering problem for a wave equation $\partial_{t}^{2} u = \frac{1}{g} \partial_{i} (g g^{ij} \partial_{j}) u$ in a multilayer domain $Ω\subset {\bf R}^{n+1}_x = {…

math.AG2025

Concentration and non-concentration of eigenfunctions of second-order elliptic operators with a divergence form in layered media

Matania Ben-Artzi, Yves Dermenjian

Let $Ω$ ' $\subset$ R^d , d = 1, 2, . . . be an open bounded smooth domain, and $Ω = Ω^{'} \times (0, H) \subset R^{d} \times R_{+} .$ The coordinates in $Ω$ are designated a…

math.AP2022

Concentration and non-concentration of eigenfunctions of second-order elliptic operators in layered media

Assia Benabdallah, Matania Ben-Artzi, Yves Dermenjian

This work is concerned with operators of the type A = --c $Δ$ acting in domains $Ω$ := $Ω$ ' x (0, H) $\subseteq$ R^d x R ^+. The diffusion coefficient c > 0 depends on one coordina…

math.AP2019★ 1 cited

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…