On Gevrey vectors of some partial differential operators.

Our aim is to give a result on Gevrey regularity for Gevrey vectors (in-space) for Hörmander’s operators and a very short survey of some works in the area, particularly recent ones on systems of vector fields or the partial differential operators of second-order associated to these systems. We also recall the regularity results in the case of elliptic operators or of principal type. [ABSTRACT FROM PUBLISHER]