Analyticité et itères d'un système de champs non elliptique

Damlakhi, M.; Helffer, Bernard

doi:10.24033/asens.1388

Cited by 11 publications

(1 citation statement)

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“…We recall that concerning systems of vector fields with real analytic coefficients satisfying Hörmander's condition the problem of the local regularity of the analytic vectors for such systems was first studied in [11] followed by a more refined version in [16].…”

Section: Introductionmentioning

confidence: 99%

On the microlocal regularity of the analytic vectors for "sums of squares" of vector fields

Chinni¹,

Derridj²

2022

Preprint

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We prove via FBI-transform a result concerning the microlocal Gevrey regularity of analytic vectors for operators sums of squares of vector fields with real-valued real analytic coefficients of Hörmander type, thus providing a microlocal version, in the analytic category, of a result due to M. Derridj in [14] concerning the problem of the local regularity for the Gevrey vectors for sums of squares of vector fields with real-valued real analytic/Gevrey coefficients.Nous démontrons , en utilisant la transformation de Fourier-Bros-Iagolnitzer, un résultat de régularité Gevrey microlocale , optimale, des vecteurs analytiques d'opérateurs de Hörmander de type "Sommes de carrés de champs de vecteurs" à coefficients analytiques sur un ouvert. Ce résultat est, dans le cadre analytique, la version microlocale du résultat de M.Derridj [14], obtenu pour les vecteurs de Gevrey de tels opérateurs à coefficients Gevrey.

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Section: Introductionmentioning

confidence: 99%