G- and G∞-hypoellipticity of partial differential operators with constant Colombeau coefficients

We provide a deep investigation of the notions of G- and G∞-hypoellipticity for partial differential operators with constant Colombeau coefficients. This involves generalized polynomials and fundamental solutions in the dual of a Colombeau algebra. Sufficient conditions and necessary conditions for...

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Bibliographic Details

Main Author:	Claudia Garetto
Format:	Default Article
Published:	2010
Subjects:	Other mathematical sciences not elsewhere classified Colombeau algebras Hypoellipticity Mathematical Sciences not elsewhere classified
Online Access:	https://hdl.handle.net/2134/17316
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