Category:Definitions/Harmonics (Analysis)

This category contains definitions related to harmonics in the context of analysis.
Related results can be found in Category:Harmonics (Analysis).

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

$\nabla^2 \phi = 0$

that is:

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