Laplace operator

Differential operator in mathematics

In mathematics, the Laplace operator or Laplacian is a differential operator given by the divergence of the gradient of a scalar function on Euclidean space. It is usually denoted by the symbols ⁠ ∇ ⋅ ∇ {\displaystyle \nabla \cdot \nabla } ⁠, ∇ 2 {\displaystyle \nabla ^{2}} (where ∇ {\displaystyle \nabla } is the nabla operator), or ⁠ Δ {\displaystyle \Delta } ⁠. In a Cartesian coordinate system, the Laplacian is given by the sum of second partial derivatives of the function with respect to each independent variable.

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