nLab wave equation

Context

Differential geometry

differential geometry

synthetic differential geometry

Contents

Idea

For $(X,g)$ a Riemannian manifold and $\Delta : C^\infty(X) \to C^\infty(X)$ its Laplace operator, the wave equation on $X$ is the differential equation

$\Delta f = 0 \,.$

where $\Delta$ is the wave operator /Laplace operator.

Revised on February 27, 2015 14:51:31 by Urs Schreiber (195.113.30.252)