Geodesic
Levi’s parametrix for some sub-elliptic non-divergence form operators
Bonfiglioli, Andrea1 ; Lanconelli, Ermanno1 ; Uguzzoni, Francesco1
1 Dipartimento di Matematica, Università degli Studi di Bologna, Piazza di Porta S. Donato 5, 40126 Bologna, Italy
Electronic research announcements of the American Mathematical Society, Tome 09 (2003), pp. 10-18.

Voir la notice de l'article provenant de la source American Mathematical Society

We construct the fundamental solutions for the sub-elliptic operators in non-divergence form ${\textstyle \sum _{i,j}} a_{i,j}(x,t) X_iX_j-\partial _t$ and ${\textstyle \sum _{i,j}}a_{i,j}(x) X_iX_j$, where the $X_i$’s form a stratified system of Hörmander vector fields and $a_{i,j}$ are Hölder continuous functions belonging to a suitable class of ellipticity.
DOI : 10.1090/S1079-6762-03-00107-0

Bonfiglioli, Andrea 1 ; Lanconelli, Ermanno 1 ; Uguzzoni, Francesco 1

1 Dipartimento di Matematica, Università degli Studi di Bologna, Piazza di Porta S. Donato 5, 40126 Bologna, Italy 
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Bonfiglioli, Andrea; Lanconelli, Ermanno; Uguzzoni, Francesco. Levi’s parametrix for some sub-elliptic non-divergence form operators. Electronic research announcements of the American Mathematical Society, Tome 09 (2003), pp. 10-18. doi : 10.1090/S1079-6762-03-00107-0. http://geodesic.mathdoc.fr/articles/10.1090/S1079-6762-03-00107-0/

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