= Linear Boltzmann equation
{title2=$\partial_tf+v\cdot\nabla_xf=K_tf-a f$}
A linear kinetic transport equation with velocity-integral gain $K_t$ and nonnegative loss coefficient $a$. Its characteristic integral formulation combines the <damped free-transport evolution> with the <Boltzmann Volterra operator>. A uniform square-integrable velocity kernel yields bounded gain on $L^2_{x,v}$ and a globally convergent <Volterra series for the linear Boltzmann equation> on every finite time interval.
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