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Non-analytic hypoellipticity in the presence of symplecticity

Author(s): Nicholas Hanges; A. Alexandrou Himonas
Journal: Proc. Amer. Math. Soc. 126 (1998), 405-409.
MSC (1991): Primary 35H05
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Abstract: Here we construct non-analytic solutions to a class of hypoelliptic operators with symplectic characteristic set and in the form of a sum of squares of real analytic vector fields.

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Additional Information:

Nicholas Hanges
Affiliation: Lehman College, CUNY, Bronx, New York 10468
Email: nwhlc@cunyvm.cuny.edu

A. Alexandrou Himonas
Affiliation: Department of Mathematics, University of Notre Dame, Notre Dame, Indiana 46556
Address at time of publication: Mathematical Sciences Research Institute, 1000 Centennial Drive, Berkeley, California 94720
Email: alex.a.himonas.1@nd.edu, himonas@msri.org

DOI: 10.1090/S0002-9939-98-04115-X
PII: S 0002-9939(98)04115-X
Keywords: Analytic hypoellipticity, sum of squares of vector fields, finite type, characteristic set, symplectic, eigenvalue, eigenfunction
Received by editor(s): July 22, 1996
Additional Notes: The first author was partially supported by NSF Grant DMS 91-04569, and the second author by NSF Grant DMS 91-01161
Communicated by: Jeffrey B. Rauch
Copyright of article: Copyright 1998, American Mathematical Society

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