# American Institute of Mathematical Sciences

January  2007, 7(1): 145-170. doi: 10.3934/dcdsb.2007.7.145

## Uniform a priori estimates for elliptic and static Maxwell interface problems

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

Received  January 2006 Revised  September 2006 Published  October 2006

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.
Citation: Jianguo Huang, Jun Zou. Uniform a priori estimates for elliptic and static Maxwell interface problems. Discrete & Continuous Dynamical Systems - B, 2007, 7 (1) : 145-170. doi: 10.3934/dcdsb.2007.7.145
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