On the backward heat equation
On the backward heat problem: evaluation of the norm of .
On the stability of the Dirichlet problem for the vibrating string equation
Optimal control of non-well-posed distributed systems
Optimal regularization method for ill-posed Cauchy problems.
Optimal stability for inverse elliptic boundary value problems with unknown boundaries
Overdetermined problems and the -Laplacian.
Perte de régularité pour les équations d’ondes sur-critiques
On prouve que le problème de Cauchy local pour l’équation d’onde sur-critique dans , , impair, avec et , est mal posé dans pour tout , où est l’exposant critique.
Pompeiu's problem on symmetric spaces.
Problemes aux limites non classiques pour equations d'evolution.
Prox-regularization and solution of ill-posed elliptic variational inequalities
In this paper new methods for solving elliptic variational inequalities with weakly coercive operators are considered. The use of the iterative prox-regularization coupled with a successive discretization of the variational inequality by means of a finite element method ensures well-posedness of the auxiliary problems and strong convergence of their approximate solutions to a solution of the original problem. In particular, regularization on the kernel of the differential operator and regularization...
Quasi-boundary value method for non-well posed problem for a parabolic equation with integral boundary condition.
Quasireversibility for inhomogeneous ill-posed problems in Hilbert spaces.
Quasireversibility methods for non-well-posed problems.
Regularization and error estimates for nonhomogeneous backward heat problems.
Regularization method for parabolic equation with variable operator.
Regularization of a discrete backward problem using coefficients of truncated Lagrange polynomials.
Regularization of the backward heat equation via heatlets.
Remarks on a 2-D nonlinear backward heat problem using a truncated Fourier series method.
Stabilized quasi-reversibility method for a class of nonlinear ill-posed problems.