A self-adjoint structure for the Maxwell integral equations, derived for distributions satisfying the Vlasov equation, is demonstrated for a class of plasma equilibria with one ignorable coordinate. It is shown that a general type of self-adjointness is manifest for a class of systems for which there is no magnetic field component in the ignorable direction. The integral kernel also is shown to have a natural differential operator representation.
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Dominguez et al. (1984) studied this question.
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