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 Cet article a éte moissonné depuis la source EMS Press

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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
Keywords: Hypoelliptic operators, maximal hypoelliptic operators, subelliptic operators, Carnot groups, fundamental solution 
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     author = {Annalisa Baldi and Bruno Franchi and Maria Carla Tesi},
     title = {Hypoellipticity, fundamental solution and {Liouville} type theorem for matrix-valued differential operators in {Carnot} groups},
     journal = {Journal of the European Mathematical Society},
     pages = {777--798},
     year = {2009},
     volume = {11},
     number = {4},
     doi = {10.4171/jems/166},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/jems/166/}
}
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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

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