Conductivity interface problems. Part I: Small perturbations of an interface
نویسندگان
چکیده
منابع مشابه
Conductivity Interface Problems. Part I: Small Perturbations of an Interface
We derive high-order terms in the asymptotic expansions of the boundary perturbations of steady-state voltage potentials resulting from small perturbations of the shape of a conductivity inclusion with C2-boundary. Our derivation is rigorous and based on layer potential techniques. The asymptotic expansion in this paper is valid for C1-perturbations and inclusions with extreme conductivities. I...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 2009
ISSN: 0002-9947,1088-6850
DOI: 10.1090/s0002-9947-09-04842-9