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Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
ISSN 1088-9485(online) ISSN 0273-0979(print)

 

Some nonanalytic-hypoelliptic sums of squares of vector fields


Author: Michael Christ
Journal: Bull. Amer. Math. Soc. 26 (1992), 137-140
MSC (2000): Primary 35H05
MathSciNet review: 1110438
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Abstract: Certain second-order partial differential operators, which are expressed as sums of squares of real-analytic vector fields in $ {\mathbb{R}^3}$ and which are well known to be $ {C^\infty }$ hypoelliptic, fail to be analytic hypoelliptic.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0273-0979-1992-00258-6
PII: S 0273-0979(1992)00258-6
Article copyright: © Copyright 1992 American Mathematical Society