Author： Bauer G.
Publisher： Taylor & Francis Ltd
ISSN： 0360-5302
Source： Communications in Partial Differential Equations, Vol.38, Iss.9, 2013-09, pp. : 1519-1538
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Abstract
We establish global existence and uniqueness of the dynamics of classical electromagnetism with extended, rigid charges and fields which need not to be square integrable. We also consider a modified theory of electromagnetism where no self-interaction occurs. That theory and our results are crucial for approaching the as yet unsolved problem of the general existence of dynamics of Wheeler-Feynman electromagnetism, which we shall address in the follow up paper. We conclude by discussing the energy conservation without self-interaction.
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