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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''(x) is a scalar-valued function of x ∈ R3 given by : where ρ denotes the dipole distribution, ∂/∂ν denotes the directional derivative in the direction of the outward unit normal in the ''y'' variable, and dσ is the surface measure on ''S''. More generally, a double layer potential is associated to a hypersurface ''S'' in ''n''-dimensional Euclidean space by means of : where ''P''(y) is the Newtonian kernel in ''n'' dimensions. ==See also== *Potential theory *Electrostatics *Laplacian of the indicator 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「double layer potential」の詳細全文を読む スポンサード リンク
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