  The Cauchy problem for the linearization of a system of equations arising in
the kinetic theory of a condensed gas of bosons near the critical temperature
around one of its equilibria is solved for radially symmetric initial data. It
is proved that the linearized system has global classical solutions that
satisfy the natural conservation laws for a large set of initial data. Some
regularity properties of the solutions and their long time asymptotic behavior
are described.
