arXiv:1803.04148 Abstract | arXiv Analytics

arXiv:1803.04148 [math.AP]Abstract References Reviews Resources

Gradient estimates for the perfect conductivity problem in anisotropic media

Published 2018-03-12Version 1

We study the perfect conductivity problem when two perfectly conducting inclusions are closely located to each other in an anisotropic background medium. We establish optimal upper and lower gradient bounds for the solution in any dimension which characterize the singular behavior of the electric field as the distance between the inclusions goes to zero.

Categories: math.AP

Subjects: 35J25, 35B44, 35B50, 35J62, 78A48, 58J60

Keywords: perfect conductivity problem, anisotropic media, gradient estimates, anisotropic background medium, lower gradient bounds

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