Hypoelliptic operator

In mathematics, more specifically in the theory of partial differential equations, a partial differential operator $P$ defined on an open subset

is called hypoelliptic if for every distribution $u$ defined on an open subset $V \subset U$ such that $Pu$ is $C^\infty$ (smooth), $u$ must also be $C^\infty$ .

单词	Hypoelliptic operator
释义	Hypoelliptic operator 英语百科 Hypoelliptic operator In mathematics, more specifically in the theory of partial differential equations, a partial differential operator $P$ defined on an open subset is called hypoelliptic if for every distribution $u$ defined on an open subset $V \subset U$ such that $Pu$ is $C^\infty$ (smooth), $u$ must also be $C^\infty$ .
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