A stability estimate for a solution to the problem of determination of two coefficients of a hyperbolic equation.
A stability result for parameter identification problems in nonlinear parabolic problems.
A stability result in the localization of cavities in a thermic conducting medium
We prove a logarithmic stability estimate for a parabolic inverse problem concerning the localization of unknown cavities in a thermic conducting medium in , , from a single pair of boundary measurements of temperature and thermal flux.
A stability result in the localization of cavities in a thermic conducting medium
We prove a logarithmic stability estimate for a parabolic inverse problem concerning the localization of unknown cavities in a thermic conducting medium Ω in , n ≥ 2, from a single pair of boundary measurements of temperature and thermal flux.
A study of the inverse of a free-surface problem.
A symbolic algorithm for the approximate solution of an inverse problem for liner kinetic equation.
A uniqueness result for an inverse problem
We establish a uniqueness result for an overdetermined boundary value problem. We also raise a new question.
A uniqueness result in the theory of stereo vision : coupling shape from shading and binocular information allows unambiguous depth reconstruction
A variational method for parameter identification
About existence and uniqueness of the restricted total least squares estimation.
About stability and regularization of ill-posed elliptic Cauchy problems: the case of C1,1 domains
This paper is devoted to a conditional stability estimate related to the ill-posed Cauchy problems for the Laplace's equation in domains with C1,1 boundary. It is an extension of an earlier result of [Phung, ESAIM: COCV9 (2003) 621–635] for domains of class C∞. Our estimate is established by using a Carleman estimate near the boundary in which the exponential weight depends on the distance function to the boundary. Furthermore, we prove that this stability estimate is nearly optimal and induces...
Algorithm for reconstruction of the elastic constants of an anisotropic layer lying in an isotropic horizontally stratified medium.
An example of the absence of a global solution to some inverse problem for a hyperbolic equation.
An integral geometry problem along geodesics and a computational approach.
An inverse boundary-value problem for semilinear elliptic equations.
An inverse eigenvalue problem for an arbitrary multiply connected bounded region in .
An inverse eigenvalue problem for an arbitrary multiply connected bounded region: An extension to higher dimensions.
An Inverse Electromagnetic Scattering Problem From a Dielectric body in R^3
An inverse Neumann problem.
An inverse problem for a general annular drum with positive smooth functions in the Robin boundary conditions.