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Fundamentalnaya i Prikladnaya Matematika, 2005, Volume 11, Issue 1, Pages 211–226 (Mi fpm805)  
This article is cited in 8 scientific papers (total in 8 papers)

On the formulation of initial-value problems for systems consisting of relativistic particles

S. B. Kirpichev, P. A. Polyakov

M. V. Lomonosov Moscow State University
Full-text PDF (179 kB) Citations (8)
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Abstract: We discuss questions related to the well-posedness of problems on the motion of relativistic many-body systems. For one-dimensional relativistic motion of $N$ similar charges, we prove that an ordinary Cauchy problem usual in Newton mechanics can be stated; this is done in the framework of microscopic Maxwell–Lorentz electrodynamics (including a model with self-action) or Wheeler–Feynman theory.
English version:
Journal of Mathematical Sciences (New York), 2007, Volume 141, Issue 1, Pages 1051–1061
DOI: https://doi.org/10.1007/s10958-007-0032-6
Bibliographic databases:
UDC: 517.958+535+537.812
Language: Russian
Citation: S. B. Kirpichev, P. A. Polyakov, “On the formulation of initial-value problems for systems consisting of relativistic particles”, Fundam. Prikl. Mat., 11:1 (2005), 211–226; J. Math. Sci., 141:1 (2007), 1051–1061
Citation in format AMSBIB
\Bibitem{KirPol05}
\by S.~B.~Kirpichev, P.~A.~Polyakov
\paper On the formulation of initial-value problems for systems consisting of relativistic particles
\jour Fundam. Prikl. Mat.
\yr 2005
\vol 11
\issue 1
\pages 211--226
\mathnet{http://mi.mathnet.ru/fpm805}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2137436}
\zmath{https://zbmath.org/?q=an:1072.78508}
\transl
\jour J. Math. Sci.
\yr 2007
\vol 141
\issue 1
\pages 1051--1061
\crossref{https://doi.org/10.1007/s10958-007-0032-6}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33846572224}
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  • https://www.mathnet.ru/eng/fpm/v11/i1/p211
    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Фундаментальная и прикладная математика
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    References:59
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