On Gevrey regularity of globally C∞ hypoelliptic operators

[摘要] We prove Gevrey regularity for a class of operators defined on the torus Tm+n, with real analytic coefficients in T-m, and which are globally Cinfinity hypoelliptic. Then, we apply this result to show global G(S) hypoellipticity for a large class of sublaplacians that may include lower order terms. (C) 2004 Elsevier Inc. All rights reserved.

[发布日期] 2004-12-15

[关键词] global G(S) hypoellipticity;Gevrey spaces;regularity