4 papers
An extremal eigenvalue problem for the Wentzell-Laplace operator
Marc Dambrine, Djalil Kateb, Jimmy Lamboley
We consider the question of giving an upper bound for the first nontrivial eigenvalue of the Wentzell-Laplace operator of a domain , involving only geometrical informations. We…
Generic properties of the spectrum of the Stokes system with Dirichlet boundary condition in R^3
Yacine Chitour, Djalil Kateb, Ruixing Long
Let (SD_Ω) be the Stokes operator defined in a bounded domain Ωof R^3 with Dirichlet boundary conditions. We prove that, generically with respect to the domain Ωwith C^5 boundary,…
On second order shape optimization methods for electrical impedance tomography
Lekbir Afraites, Marc Dambrine, Djalil Kateb
This paper is devoted to the analysis of a second order method for recovering the \emph{a priori} unknown shape of an inclusion inside a body from boundary measurement. Thi…
A remark on precomposition on $\sH^{1/2}(S^1)$ and $\eps$-identifiability of disks in tomography
Marc Dambrine, Djalil Kateb
We consider the inverse conductivity problem with one measurement for the equation determining the unknown inclusion included in . W…