Electronic Research Announcements

Author(s): Andrea Bonfiglioli; Ermanno Lanconelli; Francesco Uguzzoni
Journal: Electron. Res. Announc. Amer. Math. Soc. 9 (2003), 10-18.
MSC (2000): Primary 35A08, 35H20, 43A80; Secondary 35A17, 35J70
Posted: January 31, 2003
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Abstract: 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

's form a stratified system of Hörmander vector fields and $a_{i,j}$ are Hölder continuous functions belonging to a suitable class of ellipticity.

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Retrieve articles in Electronic Research Announcements with MSC (2000): 35A08, 35H20, 43A80, 35A17, 35J70

Andrea Bonfiglioli
Affiliation: Dipartimento di Matematica, Università degli Studi di Bologna, Piazza di Porta S. Donato 5, 40126 Bologna, Italy
Email: bonfigli@dm.unibo.it

Ermanno Lanconelli
Affiliation: Dipartimento di Matematica, Università degli Studi di Bologna, Piazza di Porta S. Donato 5, 40126 Bologna, Italy
Email: lanconel@dm.unibo.it

Francesco Uguzzoni
Affiliation: Dipartimento di Matematica, Università degli Studi di Bologna, Piazza di Porta S. Donato 5, 40126 Bologna, Italy
Email: uguzzoni@dm.unibo.it

DOI: 10.1090/S1079-6762-03-00107-0
PII: S 1079-6762(03)00107-0
Keywords: Non-divergence sub-elliptic operators, stratified groups, fundamental solutions, parametrix method
Received by editor(s): November 11, 2002
Posted: January 31, 2003
Additional Notes: Investigation supported by the University of Bologna Funds for selected research topics.
Communicated by: Michael Taylor
Copyright of article: Copyright 2003, American Mathematical Society

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