10 papers
Unique determination of electromagnetic parameters from partial boundary measurements
Christian Daveau, Abdessatar Khelifi, Houssem Lihiou
We consider an inverse boundary value problem for the Maxwell's equations with a given data assumed to be known only in accessible part of the boundary. We aim to prove an uniq…
Asymptotic expansions of the largest eigenvalues
M. Gozzi, A. Khelifi
In this paper, we provide a rigorous derivation of asymptotic formula for the largest eigenvalues using the convergence estimation of the eigenvalues of a sequence of self-adjoint…
Asymptotic Expansions for Resonances in the Presence of Small Anisotropic Imperfections
M. Gozzi, A. Khelifi
We provide a rigorous derivation of an asymptotic formula for perturbations in the resonance values caused by the presence of finite number of anisotropic imperfections of small sh…
Determination of small linear perturbations in the diffusion coefficient from partial dynamic boundary measurements
Aymen Jbalia, Abdessatar Khelifi
This work deals with an inverse boundary value problem arising from the equation of heat conduction. We reconstruct small perturbations of the (isotropic) heat conductivity distrib…
Asymptotic behaviors for eigenvalues and eigenfunctions associated to Stokes operator in the presence of small boundary perturbations
Christian Daveau, Abdessatar Khelifi
We consider the Stokes eigenvalue problem in a bounded domain of R3 with Dirich- let boundary conditions. The aim of this paper is to advance the development of high-order terms in…
On a hyperbolic coefficient inverse problem via partial dynamic boundary measurements
C. Daveau, A. Khelifi
This paper is devoted to the identification of the unknown smooth coefficient c entering the hyperbolic equation in a bounded smooth domain in $\R^…