Definition:Harmonic (Analysis)
Jump to navigation
Jump to search
This page is about harmonic in the context of analysis. For other uses, see harmonic.
Definition
A harmonic is a solution $\phi$ to Laplace's equation in $2$ dimensions:
- $\nabla^2 \phi = 0$
that is:
- $\dfrac {\partial^2 \phi} {\partial x^2} + \dfrac {\partial^2 \phi} {\partial y^2} = 0$
Also see
Sources
- 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): harmonic: 1.