Volume 8, no. 4Pages 50 - 75

An Impedance Effect of a Thin Adhesive Layer in Some Boundary Value and Transmission Problems Governed by Elliptic Differential Equations

A. Favini, R. Labbas, K. Lemrabet
In this paper we consider a problem of two bodies bonded through a thin adhesive layer (a third material) of thickness delta. Leting delta go to zero, one obtains a boundary value transmission problem set on a fixed domain. We then give new results for the study of this problem in the framework of H'older spaces: an explicit representation of the solution and necessary and sufficient conditions at the interface for its optimal regularity are obtained using the semigroups theory and the real interpolation spaces.
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Keywords
boundary value problem of elliptic type; transmission problems; impedance effect; thin layer.
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