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math.AP2016
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…
math-ph2016
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…
math.AP2016
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…