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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Global analytic regularity for non-linear second order operators on the torus


Authors: Chiara Boiti and Luisa Zanghirati
Journal: Proc. Amer. Math. Soc. 131 (2003), 3783-3793
MSC (2000): Primary 35B65, 35B45; Secondary 35H10, 35H20
Published electronically: February 28, 2003
MathSciNet review: 1998186
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Abstract: Assuming a subelliptic a-priori estimate we prove global analytic regularity for non-linear second order operators on a product of tori, using the method of majorant series.


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Additional Information

Chiara Boiti
Affiliation: Dipartimento di Matematica, Via Machiavelli n.35, 44100 Ferrara, Italy
Email: boiti@dm.unife.it

Luisa Zanghirati
Affiliation: Dipartimento di Matematica, Via Machiavelli n.35, 44100 Ferrara, Italy
Email: zan@dns.unife.it

DOI: http://dx.doi.org/10.1090/S0002-9939-03-06940-5
PII: S 0002-9939(03)06940-5
Keywords: Analytic regularity, non-linear, sums of squares of vector fields, torus
Received by editor(s): July 4, 2002
Published electronically: February 28, 2003
Communicated by: David S. Tartakoff
Article copyright: © Copyright 2003 American Mathematical Society