Definition of Laplace's equation
: the equation ∂2u/∂x2 + ∂2u/∂y2 + ∂2u/∂z2 = 0 often written ∇2u = 0 in which x, y, and z are the rectangular Cartesian coordinates of a point in space and u is a function of those coordinates
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Origin and Etymology of laplace's equation
after Pierre Simon de Laplace †1827 French astronomer and mathematician
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