Geodesic
Hypoellipticity, fundamental solution and Liouville type theorem for matrix-valued differential operators in Carnot groups
Journal of the European Mathematical Society, Tome 11 (2009) no. 4, pp. 777-798.

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Let L be a non-negative self-adjoint N×N matrix-valued operator of order a≤Q on a Carnot group G. Here Q is the homogeneous dimension of G. The aim of this paper is to investigate the relationship between hypoellipticity and maximal hypoellipticity (i.e. sharp Lp estimates in appropriate Sobolev spaces), Lp-maximal hypoellipticity (i.e. sharp Lpestimates in appropriate Sobolev spaces for {1∞}), and what we call maximal subellipticity of L (which is basically a sharp higher order energy estimate).
DOI : 10.4171/jems/166
Classification : 35-XX, 13-XX, 14-XX, 00-XX
Mots-clés : Hypoelliptic operators, maximal hypoelliptic operators, subelliptic operators, Carnot groups, fundamental solution 
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     title = {Hypoellipticity, fundamental solution and {Liouville} type theorem for matrix-valued differential operators in {Carnot} groups},
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Annalisa Baldi; Bruno Franchi; Maria Carla Tesi. Hypoellipticity, fundamental solution and Liouville type theorem for matrix-valued differential operators in Carnot groups. Journal of the European Mathematical Society, Tome 11 (2009) no. 4, pp. 777-798. doi : 10.4171/jems/166. https://geodesic-test.mathdoc.fr/articles/10.4171/jems/166/

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