Maximal Hölder Regularity of Elliptic Transmission Problems in Unbounded Domains

A. In the present paper, we study a class of abstract elliptic transmission problems family, posed in unbounded heterogeneous domains ]-, ], with non-homogeneous Dirichlet boundary conditions at -, when the right-hand side is a Hlder continuous function.Our approach is based on the generalized analytic semigroup theory and Sinestrari's results, to ensure existence, uniqueness, and maximal regularity of the strict solution.