Inversion of Colombeau generalized functions
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Publication:4923449
DOI10.1017/S0013091512000429zbMath1281.46039OpenAlexW2317186181MaRDI QIDQ4923449
Publication date: 24 May 2013
Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1017/s0013091512000429
Generalized functions for nonlinear analysis (Rosinger, Colombeau, nonstandard, etc.) (46F30) Abstract inverse mapping and implicit function theorems involving nonlinear operators (47J07)
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Cites Work
- Microlocal analysis of generalized pullbacks of Colombeau functions
- Intrinsic definition of the Colombeau algebra of generalized functions
- Generalized flows and singular ODEs on differentiable manifolds
- A discontinuous Colombeau differential calculus
- Generalized functions valued in a smooth manifold
- Differential calculus and integration of generalized functions over membranes
- Generalized group actions in a global setting
- The Jacobian matrix and global univalence of mappings
- Inversion of a ‘discontinuous coordinate transformation’ in general relativity
- Generalized pseudo-Riemannian geometry
- SYMMETRY GROUP ANALYSIS OF WEAK SOLUTIONS
- Generalized oscillatory integrals and Fourier integral operators
- Intrinsic Characterization of Manifold-Valued Generalized Functions
- Group Analysis of Differential Equations and Generalized Functions
- A note on the Penrose junction conditions
- Microlocal analysis and global solutions of some hyperbolic equations with discontinuous coefficients
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