On boundary regularity of solutions to Maxwell's equations with a homogeneous conservative boundary condition

M. Eller

doi:10.3934/dcdss.2009.2.473

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2009, Volume 2, Issue 3: 473-481. Doi: 10.3934/dcdss.2009.2.473

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On boundary regularity of solutions to Maxwell's equations with a homogeneous conservative boundary condition

M. Eller^1,

1.
Department of Mathematics, Georgetown University, Washington, DC 20057

Received: October 31, 2008

Revised: November 30, 2008

Published: August 2009

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Abstract

The dynamic Maxwell equations with a conservative boundary condition are considered. A boundary regularity result for classical solutions is proved. This result is remarkable since the boundary condition does not satisfy the uniform Lopatinskii (Kreiss-Sakamoto) condition.

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Mathematics Subject Classification: Primary: 35L50; Secondary: 78A25.

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