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RESEARCH PRODUCT
MR3631681 Reviewed Nigsch, E. A.(A-WIENM) On a nonlinear Peetre's theorem in full Colombeau algebras. (English summary) Comment. Math. Univ. Carolin. 58 (2017), no. 1, 69–77. 46F30 (46M20)
Tschinke Francescosubject
local functionColombeau algebraSettore MAT/05 - Analisi Matematicanonlinear Peetre's theoremdescription
Colombeau algebras are defined as quotients of spaces containing the representatives of generalized functions given by smooth mappings: R:C∞(Ω,D(Ω))→C∞(Ω), where Ω is an open subset of Rn. In this paper the notion of locality defined by the author for a representative R of a nonlinear generalized function is characterized in such a way that the representative depends only on its ∞-jet. Finally, the author examines the possibility of defining a notion of order for the mapping R.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2017-01-01 |