# Difference between revisions of "Free wave equation"

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The free wave equation on ${\displaystyle R^{1+d}}$ is given by

${\displaystyle \Box f=0}$

where f is a scalar or vector field on Minkowski space ${\displaystyle R^{1+d}}$. In coordinates, this becomes

${\displaystyle -\partial _{tt}f+\Delta f=0.}$

It is the prototype for many nonlinear wave equations.

One can add a mass term to create the Klein-Gordon equation.