I am interested in the solutions of the Klein Gordon equation.(adsbygoogle = window.adsbygoogle || []).push({});

Plane waves solutions are well known in physics. they look like ## e^ { i (kx - \sqrt{k^2 + m^2} t)}## or superpositions of them.

They are finite when t or x go to infinity.

I am looking for the general solution of the problem. In particular are there fast diminishing tempered solutions (in x and t) that could be useful with Schwartz distributions?

Are there solutions whith compact support?

Thanks.

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Solutions with a finite support

**Physics Forums | Science Articles, Homework Help, Discussion**