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In potential theory, an area of mathematics, a double layer potential is a solution of Laplace's equation corresponding to the electrostatic or magnetic potential associated to a dipole distribution on a closed surface S in three-dimensions. Thus a double layer potential u is a scalar-valued function of x ∈ R given by

More generally, a double layer potential is associated to a hypersurface S in n-dimensional Euclidean space by means of

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