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Linear Elliptic Boundary Value Problems with Non‐Smooth Data: Campanato Spaces of Functionals
Authors:Jens A Griepentrog
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.
Keywords:L∞  ‐coefficients  sets with Lipschitz boundary  regular sets  non‐homogeneous mixed boundary conditions  regularity up to the boundary of weak solutions  arbitrary space dimension
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