I know how to write down solutions of wave equation(adsbygoogle = window.adsbygoogle || []).push({});

[tex]

\partial^2_t u(t,x) = \partial^2_x u(t,x)

[/tex]

for given initial [itex]u(0,x)[/itex] and [itex]\partial_t u(0,x)[/itex] like this

[tex]

u(t,x) = \frac{1}{2}\Big( u(0,x+t) + u(0,x-t) + \int\limits^{x+t}_{x-t} \partial_t u(0,y) dy\Big),

[/tex]

but what about

[tex]

\partial^2_t u(t,x) = \partial^2_x u(t,x) - mu(t,x)

[/tex]

where m is some constant? Is there similar formula for this?

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# Mass term in wave equation

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