TY - JOUR
T1 - The Hypoellipticity and Parametrices for a Class of Nonprincipal Type LPDOs
AU - Jiang Yaping
JO - Journal of Partial Differential Equations
VL - 4
SP - 339
EP - 348
PY - 1993
DA - 1993/06
SN - 6
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jpde/5720.html
KW - Increment operators
KW -  LPDOs
KW -  hypoellipticity
KW -  parametrices
AB -  In this paper, we employ the method of increment operators, by means of the left invariant operators &#163^{v,s} on nilpotent Lie group G^{d_1+d_2} and the calculus of v- &PsiDOs, to discuss the hypoellipticity for a class of nonprincipal type LPDOs &#163 on a d_1 + d_2 dimensional manifold M. For those hypoelliptic &#163 we also construct their parametrices.