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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Global analytic regularity
for sums of squares of vector fields


Authors: Paulo D. Cordaro and A. Alexandrou Himonas
Journal: Trans. Amer. Math. Soc. 350 (1998), 4993-5001
MSC (1991): Primary 35H05, 35N15; Secondary 32F10, 58G15
MathSciNet review: 1433115
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Abstract: We consider a class of operators in the form of a sum of squares of vector fields with real analytic coefficients on the torus and we show that the zero order term may influence their global analytic hypoellipticity. Also we extend a result of Cordaro-Himonas.


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Additional Information

Paulo D. Cordaro
Affiliation: IME - USP, Caixa Postal 66281, CEP 05389-970, São Paulo, SP, Brazil
Email: cordaro@ime.usp.br

A. Alexandrou Himonas
Affiliation: Department of Mathematics, University of Notre Dame, Notre Dame, Indiana 46556
Address at time of publication: Department of Mathematics, University of Notre Dame, Room 370, CCMB, Notre Dame, Indiana 46556-5683
Email: alex.a.himonas.1@nd.edu

DOI: http://dx.doi.org/10.1090/S0002-9947-98-01987-4
PII: S 0002-9947(98)01987-4
Keywords: Analytic hypoellipticity, global, torus, sum of squares of vector fields, finite type, subelliptic
Received by editor(s): January 23, 1996
Received by editor(s) in revised form: November 26, 1996
Additional Notes: The first author was partially supported by CNPq Grant 304825/89-1, and the second author by NSF Grant DMS 91-01161
Article copyright: © Copyright 1998 American Mathematical Society