A transmission problem with imperfect contact for an unbounded multiply connected domain

作者：Castro L P^*; Pesetskaya E

来源：Mathematical Methods in the Applied Sciences, 2010, 33(4): 517-526.

DOI：10.1002/mma.1217

• transmission problem with imperfect contact
• multiply connected domain
• analytic function
• method of functional equations
• Liouville Theorem
• Eisenstein functions

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.

• 出版日期2010-3-15