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单词 LaplaceEquation
释义

Laplace equation


The scalar form of Laplace’s equation is the partial differential equationMathworldPlanetmath

2f=0

and the vector form is

2𝐀=0,

where 2 is the Laplacian. It is a special case of the Helmholtz differential equationMathworldPlanetmath with k=0.

A function f which satisfies Laplace’s equation is said to be harmonic. Since Laplace’s equation is linear, the superposition of any two solutions is also a solution.

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更新时间:2025/5/4 4:46:19