Group invariants in algebras of generalized functions

DOI10.1080/10652460500436536zbMath1101.46027arXivmath/0504043OpenAlexW2024186151WikidataQ59310111 ScholiaQ59310111MaRDI QIDQ5291792

Michael Kunzinger, Sanja Konjik

Publication date: 22 May 2006

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

Full work available at URL: https://arxiv.org/abs/math/0504043

zbMATH Keywords

invariantsColombeau generalized functionsLie group actions

Mathematics Subject Classification ID

Distributions and generalized functions on nonlinear spaces (46T30) Geometric theory, characteristics, transformations in context of PDEs (35A30) Generalized functions for nonlinear analysis (Rosinger, Colombeau, nonstandard, etc.) (46F30) Variational aspects of group actions in infinite-dimensional spaces (58E40)

Related Items (3)

Foundations of the calculus of variations in generalized function algebras ⋮ Homogeneity in generalized function algebras ⋮ Group invariant Colombeau generalized functions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Generalized flows and singular ODEs on differentiable manifolds
• Nonsmooth differential geometry and algebras of generalized functions
• Symmetries of conservation laws
• SYMMETRY GROUP ANALYSIS OF WEAK SOLUTIONS
• Group invariance of generalized solutions obtained through the algebraic method
• Group Analysis of Differential Equations and Generalized Functions
• Symmetries and differential equations

This page was built for publication: Group invariants in algebras of generalized functions