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An exterior boundary-value problem for the Maxwell equations with boundary data in a Sobolev space

  • Peter Hähner (a1)

Synopsis

We treat the time-harmonic Maxwell equations in an exterior domain with prescribed boundary data [n, E] in the Sobolev space of square integrable tangential fields with square integrable surface divergence. By using boundary integral equation methods, existence and uniqueness results are established. Furthermore, we investigate the completeness of electric and magnetic dipoles distributed on an inner surface in this Sobolev space.

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An exterior boundary-value problem for the Maxwell equations with boundary data in a Sobolev space

  • Peter Hähner (a1)

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