摘要
利用拟微分算子研究了一类线性偏微分算子的亚椭圆性,得到了 Sobolev 空间范数的估计,从而得出了该类算子具有亚椭圆性的充分条件。
This paper studies the hypoellipticity for a clss of linear partialdifferential operators by pseudodifferential operators and obtains the estimation ofnorms in Sobolev spaces,thus giving sufficient condition for the class operators to behypoelliptic.
出处
《电子科技大学学报》
EI
CAS
CSCD
北大核心
1990年第5期448-455,共8页
Journal of University of Electronic Science and Technology of China
关键词
偏微分算子
亚椭圆性
索伯列夫空间
Pseudodifferential operator
Sobolev space
commutator
principal symbol
characteristic
hypoellipticity
