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Removable singularities of solutions of linear uniformly elliptic second order equations
Authors:A V Pokrovskii
Institution:(1) Institute of Mathematics, National Academy of Sciences of Ukraine, Ukraine
Abstract:Let L be a uniformly elliptic linear second order differential operator in divergence form with bounded measurable real coefficients in a bounded domain G ? ?n (n ? 2). We define classes of continuous functions in G that contain generalized solutions of the equation L? = 0 and have the property that the compact sets removable for such solutions in these classes can be completely described in terms of Hausdorff measures.
Keywords:removable singularity  elliptic operator  generalized solution  Green function  Hausdorff measure
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