FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2005, VOLUME 11, NUMBER 1, PAGES 211-226

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

S. B. Kirpichev

P. A. Polyakov

Abstract

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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.

Location: http://mech.math.msu.su/~fpm/eng/k05/k051/k05110h.htm

Last modified: April 27, 2005