Les opérateurs pseudo-différentiels classiques et leurs conjugués par changement de variable
Lévy processes, pseudo-differential operators and Dirichlet forms in the Heisenberg group
Lie algebras of formal power series.
L'opérateur de temps-retard dans la théorie de la diffusion
Low regularity Cauchy theory for the water-waves problem: canals and swimming pools
The purpose of this talk is to present some recent results about the Cauchy theory of the gravity water waves equations (without surface tension). In particular, we clarify the theory as well in terms of regularity indexes for the initial conditions as fin terms of smoothness of the bottom of the domain (namely no regularity assumption is assumed on the bottom). Our main result is that, following the approach developed in [1, 2], after suitable para-linearizations, the system can be arranged into...
Lower bounds for pseudo-differential operators
Lower bounds for pseudo-differential operators
Lower bounds for pseudo-differential operators
This paper contains some new results on lower bounds for pseudo-differential operators whose symbols do not remain positive. Non-negativity of averages of the symbol on canonical images of the unit ball is sufficient to get a Gårding type inequality for Schrödinger operators with magnetic potential and one dimensional pseudo-differential operators.
Lp estimates for degenerate elliptic equations.
In this note we are going to address the question of when a second order differential operator is controlled by a subelliptic second order differential operator.
Maximal functions related to subelliptic operators with polynomially growing coefficients.
Méthodes de factorisation dans les problèmes de convexité
Microdistributions de Fourier classiques dans le cadre analytique réel
On étudie une classe de microdistributions intégrales de Fourier représentées à l’aide de phases homogènes analytiques réelles, d’amplitudes qui sont des réalisations holomorphes tronquées de symboles analytiques classiques, et de contours d’intégration le long desquels la partie imaginaire de la phase a une propriété convenable de positivité. On donne des théorèmes de changement de phase et de composition transverse analogues à ceux du cas , et on montre comment le calcul symbolique standard des...
Microlocal analysis for spatially inhomogeneous pseudo differential operators
Microlocal operators with plurisubharmonic growth
Microlocal properties of a class of pseudodifferential operators with double involutive characteristics
Microlocal structure of a single linear pseudodifferential equation
Modèles microlocaux pour certains opérateurs pseudodifférentiels fuchsiens
Nilpotent Lie groups and eigenfunction expansions of Schrödinger operators II
Non hypoellipticité analytique pour des opérateurs à caractéristiques doubles
Nonexistence of solutions of some inequalities with gradient nonlinearities and fractional Laplacian
We obtain sufficient conditions for nonexistence of nontrivial solutions for some classes of nonlinear partial differential inequalities containing the fractional powers of the Laplace operator.