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Global analytic regularity for non-linear second order operators on the torus
Author(s):
Chiara
Boiti;
Luisa
Zanghirati
Journal:
Proc. Amer. Math. Soc.
131
(2003),
3783-3793.
MSC (2000):
Primary 35B65, 35B45;
Secondary 35H10, 35H20
Posted:
February 28, 2003
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Additional information
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.
References:
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- [AM]
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 série (1981), pp. 209-246 MR 84h:35177 - [GPY]
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- P. Guan, Regularity of a class of quasilinear degenerate elliptic equations, Advances in Mathematics, 132 (1997), pp. 24-45 MR 99a:35068
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- D.S. Tartakoff, Global (and local) analyticity for second order operators constructed from rigid vector fields on products of tori, Trans. of A.M.S., Vol. 348, n. 7 (1996), pp. 2577-2583 MR 96i:35018
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- D.S. Tartakoff - L. Zanghirati, Analyticity of Solutions for Sums of Squares of Non-linear Vector Fields, to appear in Proc. A.M.S.
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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:
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
Posted:
February 28, 2003
Communicated by:
David S. Tartakoff
Copyright of article:
Copyright
2003,
American Mathematical Society
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