Globally hypoelliptic and globally solvable first-order evolution equations

Hounie, Jorge

doi:10.1090/S0002-9947-1979-0534120-1

Globally hypoelliptic and globally solvable first-order evolution equations
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by Jorge Hounie PDF

Trans. Amer. Math. Soc. 252 (1979), 233-248 Request permission

Abstract:

We consider global hypoellipticity and global solvability of abstract first order evolution equations defined either on an interval or in the unit circle, and prove that it is equivalent to certain conditions bearing on the total symbol. We relate this to known results about hypoelliptic vector fields on the 2-torus.

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