Gradient estimates for solutions to the conductivity problem |
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| Authors: | Habib Ammari Hyeonbae Kang Mikyoung Lim |
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| Institution: | (1) Centre de Mathématiques Appliquées, Ecole Polytechnique, 91128 Palaiseau Cedex, France;(2) School of Mathematical Sciences, Seoul National University, Seoul, 151-747, Korea |
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| Abstract: | In this paper we derive very precise gradient estimates for solutions to the conductivity problem in the case where two circular conductivity inclusions are very close but not touching. The novelty of these estimates is that they give very specific information about the blow up of the gradient as the conductivities of the inclusions degenerate.Mathematics Subject Classification (2000): 35J25, 73C40 |
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