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

Yves Capdeboscq, Michael S. Vogelius

Research output: Contribution to journalArticlepeer-review

16 Scopus citations

Abstract

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.

Original languageEnglish (US)
Pages (from-to)175-204
Number of pages30
JournalAsymptotic Analysis
Volume50
Issue number3-4
StatePublished - 2006

ASJC Scopus subject areas

  • Mathematics(all)

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