Perturbation quasi différentielle d'un semi-groupe régularisant dans une échelle d'espaces de Banach
Perturbations singulières et noyaux de Poisson
Powers and Gevrey's regularity for a system of differential operators
Problème de Cauchy asymptotique. Lien avec l'hyperbolicité
Problems in Linked Operators. I.
Problems in Linked Operators. II.
Propriété des itérés et ellipticité
Quelques propriétés de l’opérateur de Schrödinger
Quelques résultats sur la résolubilité analytique des équations linéaires à coefficients constants
Régularité lipschitzienne et solutions de l'équation des ondes sur une variété riemannienne compacte
Remarks on some Variable Domain Problems in Abstract Evolution Equations.
Risoluzione, in , della II congettura di De Giorgi
Scattering on stratified media: the microlocal properties of the scattering matrix and recovering asymptotics of perturbations
The scattering matrix is defined on a perturbed stratified medium. For a class of perturbations, its main part at fixed energy is a Fourier integral operator on the sphere at infinity. Proving this is facilitated by developing a refined limiting absorption principle. The symbol of the scattering matrix determines the asymptotics of a large class of perturbations.
Second order quasilinear functional evolution equations
We consider second order quasilinear evolution equations where also the main part contains functional dependence on the unknown function. First, existence of solutions in is proved and examples satisfying the assumptions of the existence theorem are formulated. Then a uniqueness theorem is proved. Finally, existence and some qualitative properties of the solutions in (boundedness and stabilization as ) are shown.
Semigroup approach to semilinear partial functional differential equations with infinite delay.
Solutions analytiques et hyperfonctions du problème de Cauchy pour les opérateurs hyperboliques non stricts
Solutions fortes pour des problèmes aux limites du second ordre dégénérés
Solvability of boundary value problems for operator-differential equations of mixed type.
Some regularity results for a family of variational inequalities
Stochastic differential equations in Hilbert spaces