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A transmission problem with imperfect contact for an unbounded multiply connected domain
Author(s) -
Castro L. P.,
Pesetskaya E.
Publication year - 2009
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.1217
Subject(s) - mathematics , uniqueness , disjoint sets , mathematical analysis , domain (mathematical analysis) , boundary (topology) , boundary value problem , transmission (telecommunications) , telecommunications , computer science
An analysis of the flux of certain unbounded doubly periodic multiply connected domains with circle disjoint components is performed. This is done under generalized non‐ideal contact conditions on the boundary between domain components, which include analytic given data. A formula for the flux that depends on the conductivity of components, their radii, centers, the conductivity of the matrix, and also certain values of special Eisenstein functions is derived. Existence and uniqueness of solution to the problem are obtained by using a transmission problem with imperfect contact for analytic functions in corresponding Hardy spaces. Copyright © 2009 John Wiley & Sons, Ltd.