# Definition:Laplace's Equation

## Equation

Laplace's equation is a second order PDE of the form:

$\dfrac {\partial^2 w} {\partial x^2} + \dfrac {\partial^2 w} {\partial y^2} + \dfrac {\partial^2 w} {\partial z^2} = 0$

## Also known as

Laplace's Equation is also known as the equation of continuity.

Some sources render it as Laplace equation.

## Source of Name

This entry was named for Pierre-Simon de Laplace.