Boundary voltage perturbations resulting from small surface changes of a conductivity inclusion

Abstract

By using systematic way, based on layer potential techniques and the field expansion method, we rigorously derive high-order terms in the asymptotic for three-dimensional of boundary perturbations of steady state voltage resulting from small surface changes of a conductivity inclusion with -boundary. We extend these techniques to derive leading order terms in the asymptotic expansions of the perturbations of generalized polarization tensors.

Keywords:

• small surface perturbations
• full asymptotic expansions
• generalized polarization tensors
• boundary integral method

AMS Subject Classifications:

• 35R30
• 35B30