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Title: Pseudo-differential operators in algebras of generalized functions and global hypoellipticity
Authors: Garetto, Claudia
Keywords: Colombeau algebras
Global hypoellipticity
Pseudo-differential operators
Issue Date: 2004
Publisher: Springer (© Kluwer Academic Publishers)
Citation: GARETTO, C., 2004. Pseudo-differential operators in algebras of generalized functions and global hypoellipticity. Acta Applicandae Mathematicae, 80 (2), pp. 123 - 174.
Abstract: The aim of this work is to develop a global calculus for pseudo-differential operators acting on suitable algebras of generalized functions. In particular, a condition of global hypoellipticity of the symbols gives a result of regularity for the corresponding pseudo-differential equations. This calculus and this frame are proposed as tools for the study in Colombeau algebras of partial differential equations globally defined on ℝn.
Description: This article was published in the journal, Acta Applicandae Mathematicae [Springer / © Kluwer Academic Publishers]. The final publication is available at Springer via http://dx.doi.org/10.1023/B:ACAP.0000013814.89972.3c
Version: Accepted for for publication
DOI: 10.1023/B:ACAP.0000013814.89972.3c
URI: https://dspace.lboro.ac.uk/2134/17303
Publisher Link: http://dx.doi.org/10.1023/B:ACAP.0000013814.89972.3c
ISSN: 0167-8019
Appears in Collections:Published Articles (Maths)

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