Artículos de revistas
Global analytic regularity for structures of co-rank one
Date
2008Registration in:
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, v.33, n.5, p.933-941, 2008
0360-5302
10.1080/03605300701833565
Author
BERGAMASCO, Adalberto P.
ZANI, Sergio Luis
Institutions
Abstract
We consider real analytic involutive structures V, of co-rank one, defined on a real analytic paracompact orientable manifold M. To each such structure we associate certain connected subsets of M which we call the level sets of V. We prove that analytic regularity propagates along them. With a further assumption on the level sets of V we characterize the global analytic hypoellipticity of a differential operator naturally associated to V. As an application we study a case of tube structures.