Hypoellipticité pour des opérateurs quasi-homogènes à coefficients polynomiaux
Hypoellipticité pour une équation d'évolution abstraite du second ordre
Hypoellipticité pour une équation d'évolution abstraite du second ordre
Hypoellipticity, fundamental solution and Liouville type theorem for matrix-valued differential operators in Carnot groups
Inégalités et représentations de groupes nilpotents
Invariants associés à une classe d'opérateurs pseudodifférentiels et applications à l'hypoellipticité
Dans cet article, on introduit pour certaines classes d’opérateurs pseudo-différentiels à caractéristiques multiples des invariants, définis en chaque point caractéristique, permettant d’exprimer des conditions nécessaires ou suffisantes d’hypoellipticité ; une formule explicite est donnée permettant de les calculer dans un système de coordonnées.
Ipoellitticità e buona posizione del problema di Cauchy per una classe di operatori ellittici degeneri
Ipoellitticità Gevrey per equazioni alle derivate parziali con caratteristiche di molteplicità elevata
Isomorphic properties of one class of differential operators and their applications.
Iterati di operatori e regolarità Gevrey microlocale anisotropa
La sous-ellipticité pour le problème -Neumann dans un domaine pseudoconvexe de
Laurent series expansion for solutions of hypoelliptic equations
We prove that any zero solution of a hypoelliptic partial differential operator can be expanded in a generalized Laurent series near a point singularity if and only if the operator is semielliptic. Moreover, the coefficients may be calculated by means of a Cauchy integral type formula. In particular, we obtain explicit expansions for the solutions of the heat equation near a point singularity. To prove the necessity of semiellipticity, we additionally assume that the index of hypoellipticity with...
Le principe du maximum et l'hypoellipticité globale
Levi equation for almost complex structures.
Levi's parametrix for some sub-elliptic non-divergence form operators.
Liouville theorems for a class of linear second-order operators with nonnegative characteristic form.
Long time behaviour and stationary regime of memory gradient diffusions
In this paper, we are interested in a diffusion process based on a gradient descent. The process is non Markov and has a memory term which is built as a weighted average of the drift term all along the past of the trajectory. For this type of diffusion, we study the long time behaviour of the process in terms of the memory. We exhibit some conditions for the long-time stability of the dynamical system and then provide, when stable, some convergence properties of the occupation measures and of the...
Micro-Local Analysis in Some Spaces of Ultradistributions
Multiplicity of solutions for a class of quasilinear problem in exterior domains with Neumann conditions.
Multiplicity of solutions for a quasilinear problem with supercritical growth.