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

Lutz Recke
In this paper linear elliptic boundary value problems of second order with non-smooth data (L∞-coefficients, Lipschitz domain, mixed boundary conditions) are considered. It is shown that the weak solutions are Hölder continuous and that they depend smoothly - in the sense of Hölder spaces - on the coefficients of the equation.
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