Abstract
We establish soliton-type asymptotic relations for finite-energy solutions of the Maxwell-Lorentz equations describing a charge coupled to an electromagnetic field. Any solution converges to a sum of a travelling wave and an outgoing free wave. The convergence holds with respect to the global energy norm. The proof uses the method of nonautonomous integral inequalities.
| Original language | English |
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| Pages (from-to) | 428-436 |
| Number of pages | 9 |
| Journal | Russian Journal of Mathematical Physics |
| Volume | 9 |
| Issue number | 4 |
| State | Published - Oct 2002 |