4 papers · 1 filter
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…
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…
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^…
Reconstruction of closely spaced small inhomogeneities via boundary measurements for the full time-dependent Maxwell's equations
C. Daveau, A. Khelifi
We consider for the full time-dependent Maxwell's equations the inverse problem of identifying locations and certain properties of small electromagnetic inhomogeneities in a homoge…