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Title: G- and G∞-hypoellipticity of partial differential operators with constant Colombeau coefficients
Authors: Garetto, Claudia
Keywords: Colombeau algebras
Hypoellipticity
Issue Date: 2010
Publisher: © IMPAN
Citation: GARETTO, C., 2010. G- and G∞-hypoellipticity of partial differential operators with constant Colombeau coefficients. IN: Kaminski, A., Oberguggenberger, M. and Pilipovic, S. (eds). Linear and Non-Linear Theory of Generalized Functions and its Applications. IMPAN, pp. 111 - 131
Series/Report no.: Banach Center Publications;88
Abstract: 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 G- and G∞-hypoellipticity are given.
Description: This paper was published in the Banach Center Publication Series and is available here with the kind permission of the publisher.
Sponsor: Research of the author supported by FWF (Austria), grant T305-N13.
Version: Accepted for publication
DOI: 10.4064/bc88
URI: https://dspace.lboro.ac.uk/2134/17316
Publisher Link: http://dx.doi.org/10.4064/bc88
ISBN: 9788386806072
Appears in Collections:Book Chapters (Maths)

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