abstract: We consider the semi-linear scale-invariant Klein-Gordon equation with dissipation
\[u_{tt}-\Delta u+\frac{\mu_1}{1+t}u_t+\frac{\mu_2^2}{(1+t)^2}u=
u
^p,\]
where \(\mu_1\) and \(\mu_2^2\) are non-negative constants. We describe the interplay between \(\mu_1\) and \(\mu_2^2\) and its influence on properties of solutions to the considered equation.