Uniform a priori estimates for elliptic and static Maxwell interface problems

Jianguo Huang; Jun Zou

doi:10.3934/dcdsb.2007.7.145

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2007, Volume 7, Issue 1: 145-170. Doi: 10.3934/dcdsb.2007.7.145

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Uniform a priori estimates for elliptic and static Maxwell interface problems

Jianguo Huang^1, and
Jun Zou^2,

1.
Department of Mathematics, Shanghai Jiao Tong University, Shanghai 200240
2.
Department of Mathematics, The Chinese University of Hong Kong, Shatin, N.T., Hong Kong

Received: December 31, 2005

Revised: August 31, 2006

Published: December 2006

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Abstract

We present some new a priori estimates of the solutions to three-dimensional elliptic interface problems and static Maxwell interface system with variable coefficients. Different from the classical a priori estimates, the physical coefficients of the interface problems appear in these new estimates explicitly.

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Mathematics Subject Classification: Primary: 35B40, 35B45; Secondary: 35C15.

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