We obtain a global version in the N-dimensional torus of the Metivier inequality for analytic and Gevrey hypoellipticity, and based on it we introduce a class of globally analytic hypoelliptic operators which remain so after suitable lower order perturbations. We also introduce a new class of analytic (pseudodifferential) operators on the torus whose calculus allows us to study the corresponding perturbation problem in a far more general context.
G. Chinni, P. D. Cordaro (2016). On global analytic and Gevrey hypoellipticity on the torus and the M??tivier inequality. COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 42(1), 121-141 [10.1080/03605302.2016.1258577].
On global analytic and Gevrey hypoellipticity on the torus and the M??tivier inequality
G. Chinni;
2016
Abstract
We obtain a global version in the N-dimensional torus of the Metivier inequality for analytic and Gevrey hypoellipticity, and based on it we introduce a class of globally analytic hypoelliptic operators which remain so after suitable lower order perturbations. We also introduce a new class of analytic (pseudodifferential) operators on the torus whose calculus allows us to study the corresponding perturbation problem in a far more general context.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
