Remote Access Transactions of the American Mathematical Society
Green Open Access

Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 
 

 

On certain partial differential operators of finite odd type


Author: A. Alexandrou Himonas
Journal: Trans. Amer. Math. Soc. 324 (1991), 889-900
MSC: Primary 35H05; Secondary 35A27
DOI: https://doi.org/10.1090/S0002-9947-1991-1055570-9
MathSciNet review: 1055570
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: Let $P$ be a linear partial differential operator of order $m \geqslant 1$ with real-analytic coefficients defined in $\Omega$, an open set of ${\mathbb {R}^n}$, and let $\gamma$ be in the cotangent space of $\Omega$ minus the zero section. If $P$ is of odd finite type $k$ and if the Hörmander numbers are $1 = {k_1} < {k_2},{k_2}$ odd, then $P$ is analytic hypoelliptic at $\gamma$. These operators are not semirigid.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Transactions of the American Mathematical Society with MSC: 35H05, 35A27

Retrieve articles in all journals with MSC: 35H05, 35A27


Additional Information

Article copyright: © Copyright 1991 American Mathematical Society