General Transmission Problems in the Theory of Elastic Oscillations of Anisotropic Bodies (Mixed Interface Problems)

摘要

Here we extend our previous paper [L. Jentsch, D. Natroshvili, and W. Wendland, J. Math. Anal. Appl. 220 (1998), 397-433], where the mixed interface problems were formulated. With the aid of the explicit solution for the rigid contact problem, here the mixed interface problems are reduced to pseudodifferential equations on manifolds with boundary. We obtain uniqueness and existence in Bessel-potential and Besov spaces. Embedding theorems yield Holder continuity with any exponent #alpha# implied by (0, 1/2).