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
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