Randverteilungen von Nullösungen hypoelliptischer Differentialgleichungen.
Régularité Gevrey pour les opérateurs de Hörmander
Régularité optimale des solutions de systèmes différentiels et du Laplacien associé; application au ....b.
Régularité pour des systèmes à coefficients constants
Regularity of minimizers of the calculus of variations in Carnot groups via hypoellipticity of systems of Hörmander type
We prove the hypoellipticity for systems of Hörmander type with constant coefficients in Carnot groups of step 2. This result is used to implement blow-up methods and prove partial regularity for local minimizers of non-convex functionals, and for solutions of non-linear systems which appear in the study of non-isotropic metric structures with scalings. We also establish estimates of the Hausdorff dimension of the singular set.
Riesz means for the eigenfunction expansions for a class of hypo-elliptic differential operators
We study the Riesz means for the eigenfunction expansions of a class of hypoelliptic differential operators on the Heisenberg group. The operators we consider are homogeneous with respect to dilations and invariant under the action of the unitary group. We obtain convergence results in norm, at Lebesgue points and almost everywhere. We also prove localization results.
Risolubilità e ipoellitticità per equazioni differenziali a derivate parziali semilineari con caratteristiche multiple