Geodesic
Finite self-interaction of the classical electromagnetic field
Teoretičeskaâ i matematičeskaâ fizika, Tome 27 (1976) no. 2, pp. 196-203

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A nonlocal form of classical electrodynamics is considered by assuming a nonsingular modification of the Coulomb law at short distances. In the present approach, the electromagnetic self-mass of the particle is finite, the self-stress is zero, and the field at a sufficient distance from the source is described by retarded Lienard–Wiechert potentials, and the equation of motion of a particle with allowance for the self-interaction does not have runaway solutions and for a sufficiently smoothly varying external force is approximated to high accuracy by the Lorentz–Dirac equation (1). 
@article{TMF_1976_27_2_a7,
     author = {B. P. Kosyakov},
     title = {Finite self-interaction of the classical electromagnetic field},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {196--203},
     publisher = {mathdoc},
     volume = {27},
     number = {2},
     year = {1976},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1976_27_2_a7/}
}
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B. P. Kosyakov. Finite self-interaction of the classical electromagnetic field. Teoretičeskaâ i matematičeskaâ fizika, Tome 27 (1976) no. 2, pp. 196-203. http://geodesic.mathdoc.fr/item/TMF_1976_27_2_a7/