Composition and invertibility for a class of generalized functions in the Colombeau's theory

DOI10.1080/10652469808819178zbMath0963.46021OpenAlexW1965546172MaRDI QIDQ3841137

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Publication date: 2 April 2001

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652469808819178

zbMATH Keywords

invertibilitygeneralized functionscomposite functiongeneralized mappings

Mathematics Subject Classification ID

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

Related Items (3)

Heaviside generalized functions and shock waves for a Burger kind equation ⋮ Composition for a class of generalized functions in Colombeau's theory ⋮ On the Hamilton-Jacobi equation in the framework of generalized functions

Cites Work

• Intrinsic definition of the Colombeau algebra of generalized functions
• A nonlinear theory of generalized functions.
• Colombeau's theory and shock waves in a problem of hydrodynamics
• Formulae for high derivatives of composite functions

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