Pointwise polarization tensor bounds, and applications to voltage perturbations caused by thin inhomogeneities

The main result of this paper establishes optimal pointwise bounds for the polarization tensors that appear in representation formulae for the voltage perturbations caused by low volume fraction inhomogeneities. Furthermore it is demonstrated how these pointwise bounds may be used to derive a partic...

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書誌詳細
主要な著者: Capdeboscq, Y, Vogelius, MS
フォーマット: Journal article
出版事項: IOS Press 2006
その他の書誌記述
要約:The main result of this paper establishes optimal pointwise bounds for the polarization tensors that appear in representation formulae for the voltage perturbations caused by low volume fraction inhomogeneities. Furthermore it is demonstrated how these pointwise bounds may be used to derive a particularly simple version of the representation formulae in the case of thin inhomogeneities. Copyright 2006 - IOS Press and the authors. All rights reserved.