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Sufficient conditions of local solvability for partial differential operators on spaces of colombeau type
journal contribution
posted on 2015-04-20, 10:24 authored by Claudia GarettoWe provide sufficient conditions of local solvability for partial differential operators with variable Colombeau coefficients. We mainly concentrate on operators which admit a right generalized pseudodifferential parametrix and on operators which are a bounded perturbation of a differential operator with constant Colombeau coefficients. The local solutions are intended in the Colombeau algebra G(Ω) as well as in the dual L(G c(Ω), ℂ̃). © 2009 Texas State University - San Marcos.
Funding
Author was supported by grant T305-N13 from FWF, Austria.
History
School
- Science
Department
- Mathematical Sciences
Published in
Electronic Journal of Differential EquationsVolume
2009Pages
1 - 43Citation
GARETTO, C., 2009. Sufficient conditions of local solvability for partial differential operators on spaces of colombeau type. Electronic Journal of Differential Equations, 116, pp. 1 - 43.Publisher
© Department of Mathematics, Texas State UniversityVersion
- VoR (Version of Record)
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
2009Notes
This article was published in the Electronic Journal of Differential Equations [© Texas State University]. It is also available at: http://ejde.math.txstate.edu/Volumes/2009/116/garetto.pdfeISSN
1072-6691Publisher version
Language
- en
