Nonlinearity and self-interaction in physical field theories with singularities

DOI10.1080/10652469808819165zbMath0914.35005OpenAlexW2165299266MaRDI QIDQ3841123

Günther Hörmann, Michael Kunzinger

Publication date: 21 June 1999

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

Full work available at URL: https://doi.org/10.1080/10652469808819165

zbMATH Keywords

Colombeau algebraColombeau theory of generalized functions

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Operations with distributions and generalized functions (46F10) Analyticity in context of PDEs (35A20) Electromagnetic theory (general) (78A25)

Related Items (3)

Regularized derivatives in a 2-dimensional model of self-interacting fields with singular data ⋮ Weak second Bianchi identity for static, spherically symmetric spacetimes with timelike singularities ⋮ The classical point electron in Colombeau’s theory of nonlinear generalized functions

Cites Work

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• Intrinsic definition of the Colombeau algebra of generalized functions
• Colombeau algebras on a \(C^{\infty{}}\)-manifold
• Generalized functions and multiplication of distributions on \({\mathcal C}^ \infty\) manifolds
• Microlocal analysis of Colombeau's generalized functions on a manifold
• Distributional geometry
• The energy-momentum tensor of a black hole, or what curves the Schwarzschild geometry?
• Generalized functions and distributional curvature of cosmic strings

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