Dictionary:Poisson’s equation

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Warning: Display title "Dictionary:Poisson’s equation" overrides earlier display title "Ecuación de Poisson". En el espacio, donde la densidad de la fuente es ρ, el laplaciano de un potencial, U, es:

▽2 U = 4π K ρ

where is the operator del and K is a constant (the gravitational constant in the case of mass and gravitational potential). The constant 4π is deleted in some systems. In empty space where ρ=0, this becomes Laplace’s equation. Named for Simeon Denis Poisson (1781–1840), French mathematician.