Loss of derivatives in the infinite type

Authors

Tran Vu Khanh, University of WollongongFollow
Stefano Pinton, Universta degli Studi di Padova
Giuseppe Zampieri, Universta degli Studi di Padova

RIS ID

100674

Publication Details

Khanh, T., Pinton, S. & Zampieri, G. (2015). Loss of derivatives in the infinite type. Pure Applied Mathematics Quarterly, 11 (2), 315-327.

Abstract

We prove hypoellipticity with loss of ϵϵ derivatives for a system of complex vector fields whose Lie-span has a superlogarithmic estimate. In CxRCxR, the model is (L¯¯¯¯,f¯¯¯kL)(L¯,f¯kL) where f¯¯¯=z¯¯¯hf¯=z¯h for h≠0h≠0 and LL is the vector field tangential to the exponentially non-degenerate hypersurface of infinite type defined by x2=e−1∣z∣αx2=e−1∣z∣α for α<1