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Note on Hypoellipticity of a First Order Linear Partial Differential Operator
Let Ω be a domain in the ( n + 1)-dimensional euclidian space R n+1 . A linear partial differential operator P with coefficients in C ∞ (Ω) (resp. in C ω ( Ω )) will be termed hypoelliptic (resp. analytic-hypoelliptic) in Ω if a distribution u on Ω (i.e. …