7 citations · 15 across the 6 of their papers we have counts for
6 papers
New results on biorthogonal families in cylindrical domains and controllability consequences
F. Ammar Khodja, A. Benabdallah, M. González-Burgos +2
In this article we consider moment problems equivalent to null controllability of some linear parabolic partial differential equations in space dimension higher than one. For these…
Quantitative Fattorini-Hautus test and minimal null control time for parabolic problems
F. Ammar Khodja, A. Benabdallah, M. González-Burgos +1
This paper investigates the link between the null controllability property for some abstract parabolic problems and an inequality that can be seen as a quantified Fattorini-Hautus…
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 acting in domains := ' x (0, H) R^d x R ^+. The diffusion coefficient c > 0 depends on one coordina…
Concentration and confinement of eigenfunctions in a bounded open set (version 2)
Assia Benabdallah, Matania Ben-Artzi, Yves Dermenjian
Consider the Dirichlet-Laplacian in and choose another open set . The estimate $0<C_ω\leq R_ω(u):=\frac{\Vert u\Vert^{2}_{L^{2}(ω)}}{\Vert u\Ver…
Quantitative Analysis of the Tumor/Metastasis System and its Optimal Therapeutic Control
Sebastien Benzekry, Dominique Barbolosi, Assia Benabdallah +2
A mathematical model for time development of metastases and their distribution in size and carrying capacity is presented. The model is used to theoretically investigate anti-cance…
Inverse problem for a parabolic system with two components by measurements of one component
Assia Benabdallah, Michel Cristofol, Patricia Gaitan +1
We consider a system of parabolic equations with first and zeroth coupling and establish a Carleman estimate by extra data of only one component without data of initial…