Non-analytic hypoellipticity in the presence of symplecticity
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- by Nicholas Hanges and A. Alexandrou Himonas PDF
- Proc. Amer. Math. Soc. 126 (1998), 405-409 Request permission
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.References
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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
- MR Author ID: 86060
- Email: alex.a.himonas.1@nd.edu, himonas@msri.org
- 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 1998 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 126 (1998), 405-409
- MSC (1991): Primary 35H05
- DOI: https://doi.org/10.1090/S0002-9939-98-04115-X
- MathSciNet review: 1422872