Linear Elliptic Boundary Value Problems with Non-Smooth Data: Campanato Spaces of Functionals

Abstract

In this paper linear elliptic boundary value problems of second order with non-smooth data L∞-coefficients, sets with Lipschitz boundary, regular sets, non-homogeneous mixed boundary conditions) are considered. It will be shown that such boundary value problems generate isomorphisms between certain Sobolev-Campanato spaces of functions and functionals, respectively.