La méthode des gradients conjugents pour les équations non linéaires dans l'espace de Banach
La propriété du point fixe dans les espace de Banach avec base inconditionelle.
La théorie des points fixes des applications à itérée condensante
Large deviations asymptotics and the spectral theory of multiplicatively regular Markov processes.
Large norm solutions to nonlinear elliptic problems
Large time regular solutions to the MHD equations in cylindrical domains
We prove the large time existence of solutions to the magnetohydrodynamics equations with slip boundary conditions in a cylindrical domain. Assuming smallness of the L₂-norms of the derivatives of the initial velocity and of the magnetic field with respect to the variable along the axis of the cylinder, we are able to obtain an estimate for the velocity and the magnetic field in without restriction on their magnitude. Then the existence follows from the Leray-Schauder fixed point theorem.
Lasry-Lions regularization and a lemma of Ilmanen
Le calcul fonctionnel dans les espaces de Sobolev.
Le calcul fonctionnel dans les espaces de Sobolev
Le calcul fonctionnel sous-linéaire dans les espaces de Besov homogènes.
Lectures on maximal monotone operators.
These lectures will focus on those properties of maximal monotone operators which are valid in arbitrary real Banach spaces.
Leray-Schauder results for multivalued nonlinear contractions defined on closed subsets of a Fréchet space.
L-homology theory of FSQL-manifolds and the degree of FSQL-mappings
A homology theory of Banach manifolds of a special form, called FSQL-manifolds, is developed, and also a homological degree of FSQL-mappings between FSQL-manifolds is introduced.
Lie groupoids of mappings taking values in a Lie groupoid
Endowing differentiable functions from a compact manifold to a Lie group with the pointwise group operations one obtains the so-called current groups and, as a special case, loop groups. These are prime examples of infinite-dimensional Lie groups modelled on locally convex spaces. In the present paper, we generalise this construction and show that differentiable mappings on a compact manifold (possibly with boundary) with values in a Lie groupoid form infinite-dimensional Lie groupoids which we...
Lifting uniformly continuous maps with values in nuclear Fréchet spaces
L'image de la limite supérieure d'une famille d'ensembles est-elle égale à la limite supérieure de la famille des images ?
liminf and limsup contractions.
Limit behaviour of trajectories involving subgradients of convex functions
Limit sets in product of semi-dynamical systems.
Linear and nonlinear variational inequalities on half-spaces