  In this paper we compute asymptotics of solutions of the kinetic
Fokker-Planck equation with inelastic boundary conditions which indicate that
the solutions are nonunique if $r < r_c$. The nonuniqueness is due to the fact
that different solutions can interact in a different manner with a Dirac mass
which appears at the singular point $(x,v)=(0,0)$. In particular, this
nonuniqueness explains the different behaviours found in the physics literature
for numerical simulations of the stochastic differential equation associated to
the kinetic Fokker-Planck equation. The asymptotics obtained in this paper will
be used in a companion paper [34] to prove rigorously nonuniqueness of
solutions for the kinetic Fokker-Planck equation with inelastic boundary
conditions.
