Solvability Properties of Linear Elliptic Boundary Value Problems with Non-smooth Data

Abstract

In this paper linear elliptic boundary value problems of second order with non smooth data L coe cients Lipschitz domain mixed boundary conditions are considered It is shown that the weak solutions are H older continuous and that they depend smoothly in the sense of H older spaces on the coe cients of the equation Introduction In this paper we consider boundary value problems for linear elliptic equations of the type N X