Regularized derivatives in a 2-dimensional model of self-interacting fields with singular data

DOI10.4171/ZAA/944zbMath0986.35024arXivmath/9912219MaRDI QIDQ1978089

Günther Hörmann, Michael Kunzinger

Publication date: 13 June 2002

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9912219

zbMATH Keywords

Colombeau algebrassingular initial datacoupled Maxwell-Lorentz system

Mathematics Subject Classification ID

Operations with distributions and generalized functions (46F10) Electromagnetic theory (general) (78A25) Generalized functions for nonlinear analysis (Rosinger, Colombeau, nonstandard, etc.) (46F30)

Related Items

On asymptotic stability of solitons for 2D Maxwell–Lorentz equations ⋮ On orbital stability of solitons for 2D Maxwell-Lorentz equations ⋮ Nonlinear parabolic equations with singularities in Colombeau vector spaces ⋮ Nonlinear parabolic equations with regularized derivatives in Colombeau algebra ⋮ The classical point electron in Colombeau’s theory of nonlinear generalized functions

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