Products of distributions in Colombeau algebra

DOI10.1142/s1793557124500487MaRDI QIDQ6651073

Limonka Lazarova, Biljana Zlatanovska, Marija Miteva, Unnamed Author

Publication date: 9 December 2024

Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

distributionsColombeau algebraColombeau generalized functionsmultiplication of distributions

Mathematics Subject Classification ID

Operations with distributions and generalized functions (46F10) Generalized functions for nonlinear analysis (Rosinger, Colombeau, nonstandard, etc.) (46F30)

Cites Work

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• Global algebras of nonlinear generalized functions with applications in general relativity
• Nonlinear generalized functions and jump conditions for a standard one pressure liquid-gas model
• Intrinsic definition of the Colombeau algebra of generalized functions
• Results on the Colombeau products of the distribution \(x_+^{-r-1/2}\) with the distributions \(x_-^{-k-1/2}\) and \(x_-^{k-1/2}\)
• On products of distributions in Colombeau algebra
• Further results on Colombeau product of distributions
• [https://portal.mardi4nfdi.de/wiki/Publication:3366708 Balanced colombeau products of the distributions x � -p and x -p]
• A concise introduction to Colombeau generalized functions and their applications in classical electrodynamics
• On differential equations with nonstandard coefficients
• Multiplication of Schwartz Distributions and Colombeau Generalized Functions
• The use of generalized functions and distributions in general relativity
• Results on balanced products of the distributions in Colombeau algebra
• Some results on Colombeau product of distributions

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