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Proceedings of the American Mathematical Society
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On local solvability of certain differential complexes

Author(s): Fabio Nicola
Journal: Proc. Amer. Math. Soc. 136 (2008), 351-358.
MSC (2000): Primary 58J10; Secondary 35N05
Posted: September 25, 2007
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Abstract: In any locally integrable structure a differential complex induced by the de Rham differential is naturally defined. We give necessary conditions, in terms of the signature of the Levi form, for its local solvability with a prescribed rate of shrinking.


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Additional Information:

Fabio Nicola
Affiliation: Dipartimento di Matematica, Politecnico di Torino, Corso Duca degli Abruzzi 24, 10129 Torino, Italy
Email: fabio.nicola@polito.it

DOI: 10.1090/S0002-9939-07-09062-4
PII: S 0002-9939(07)09062-4
Received by editor(s): November 15, 2005
Received by editor(s) in revised form: June 7, 2006
Posted: September 25, 2007
Communicated by: David S. Tartakoff
Copyright of article: Copyright 2007, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.


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