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

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September 2009, 2(3): 473-481. doi: 10.3934/dcdss.2009.2.473

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

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

Received November 2008 Revised December 2008 Published June 2009

Abstract
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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.

Keywords: uniform Lopatinkii condition., boundary value problem, Maxwell's equations.

Mathematics Subject Classification: Primary: 35L50; Secondary: 78A2.

Citation: M. Eller. On boundary regularity of solutions to Maxwell's equations with a homogeneous conservative boundary condition. Discrete & Continuous Dynamical Systems - S, 2009, 2 (3) : 473-481. doi: 10.3934/dcdss.2009.2.473

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