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Pseudo-differential operators in algebras of generalized functions and global hypoellipticity
journal contribution
posted on 2015-04-17, 14:53 authored by Claudia GarettoThe 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.
History
School
- Science
Department
- Mathematical Sciences
Published in
Acta Applicandae MathematicaeVolume
80Issue
2Pages
123 - 174Citation
GARETTO, C., 2004. Pseudo-differential operators in algebras of generalized functions and global hypoellipticity. Acta Applicandae Mathematicae, 80 (2), pp. 123 - 174.Publisher
Springer (© Kluwer Academic Publishers)Version
- NA (Not Applicable or Unknown)
Publisher statement
This work is made available according to the conditions of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) licence. Full details of this licence are available at: https://creativecommons.org/licenses/by-nc-nd/4.0/Publication date
2004Notes
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.0000013814.89972.3cISSN
0167-8019Publisher version
Language
- en