TY - JOUR
T1 - Hypoellipticity of Nonlinear Partial Differential Equations
AU - Zhou Xiaofang
JO - Journal of Partial Differential Equations
VL - 3
SP - 215
EP - 230
PY - 1994
DA - 1994/07
SN - 7
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jpde/5683.html
KW - Hypoellipticity
KW -  patadifferential operators
KW -  pata-linearization
KW -  parametrix
AB -  In this paper, we study the hypoellipticity problems for fully nonlinear panial differential equations of order m. For a solution u &#8712 C^p_{loc}(&#937), if the linearized operator for the nonlinear equation on u satisfies some subelliptic conditions, we can deduce u &#8712 C^&#8734(&#937) by using the paradifferential operator theory of J. -M. Bony.