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Spectral Theory for the Maxwell System of Equations
by
Katharine Ott
University of Virginia
Coauthors: Irina Mitrea
This talk will present spectral properties for the Maxwell system of equations in nonsmooth domains. In particular, by employing a Rellich identity we show that the spectrum of the naturally associated integral operator, acting on on the space of square integrable functions on the boundary of the domain, lies in the interior of a hyperbola. The shape of this hyperbola depends only on the Lipschitz constant of the domain under consideration. The spectral theory results are then used to construct generalized Neumann series and study their rates of convergence.
Date received: August 20, 2007
Copyright © 2007 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cauf-25.