Event Date
2012-04-30
Event Time
02:02 pm ~ 03:20 pm
Event Location
Wachman 617
Abstract: A new proof of both analytic and $C^{\infty}$− hypoellipticity of Kohn’s
operator is given using FBI techniques introduced by J. Sjostrand. The same proof
allows us to obtain both kinds of hypoellipticity at the same time. We prove also
the hypoellipticity in the sense of germs, even though it fails to be hypoelliptic
in the strong sense, for an operator obtained by “slightly perturbing” the Kohn’s
operator.