Category:Harmonics (Analysis)

This category contains results about harmonics in the context of analysis.
Definitions specific to this category can be found in Definitions/Harmonics (Analysis).

A harmonic is a solution $\phi$ to Laplace's equation in $2$ dimensions:

$\nabla^2 \phi = 0$

that is:

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