G- and G∞-hypoellipticity of partial differential operators with constant Colombeau coefficients
journal contribution
posted on 2015-04-21, 10:35 authored by Claudia GarettoWe 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.
Funding
Research of the author supported by FWF (Austria), grant T305-N13.
History
School
- Science
Department
- Mathematical Sciences
Published in
Banach Center PublicationsVolume
88Pages
111 - 131Citation
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 - 131Publisher
© IMPANVersion
- AM (Accepted Manuscript)
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
2010Notes
This paper was published in the Banach Center Publication Series and is available here with the kind permission of the publisher.ISBN
9788386806072Publisher version
Book series
Banach Center Publications;88Language
- en
