An elementary proof of Fediĭ's theorem and extensions

Details An elementary proof of Fediĭ's theorem and extensions An elementary proof of Fediĭ's theorem and extensions

2006-09-28

arxiv.org/abs/math/0609778v1

Mathematics

Analysis of PDEs

5pp

Scientific paper

We present an elementary, $L^2,$ proof of Fedi\u{\i}'s theorem on arbitrary
(e.g., infinite order) degeneracy and extensions. In particular, the proof
allows and shows $C^\infty,$ Gevrey, and real analytic hypoellipticity, and
allows the coefficents to depend on the remaining variable as well.

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