Free wave equation

The free wave equation on $R 1 + d$ is given by

$\Box f = 0$

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

$- \partial_{tt} f + \Delta f = 0.$

It is the prototype for many nonlinear wave equations.

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

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