We give a self-contained analytical proof of Hörmander's hypoellipticity theorem in the case of left invariant sub-laplacians of Carnot groups. The proof does not rely on pseudodifferential calculus and provides intermediate regularity estimates expressed in terms of Sobolev spaces induced by right invariant vector fields.

A proof of Hörmander's theorem for sublaplacians on Carnot groups

BRANDOLINI, Luca
2015-01-01

Abstract

We give a self-contained analytical proof of Hörmander's hypoellipticity theorem in the case of left invariant sub-laplacians of Carnot groups. The proof does not rely on pseudodifferential calculus and provides intermediate regularity estimates expressed in terms of Sobolev spaces induced by right invariant vector fields.
journal article - articolo
2015
Bramanti, Marco; Brandolini, Luca
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10446/55969
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