The effects of Coulomb collisions in the transition region between the
collision-dominated regime at low altitudes and the collisionless reg
ime at high altitudes have been taken into account to study the escape
of H+ ions through a background of O+ ions. The H+ ion velocity distr
ibution function is determined as a function of altitude for realistic
initial conditions in the whole velocity space. We emphasize the impo
rtance for a correct choice of the boundary conditions at v=0 to obtai
n regular mathematical solutions. The results of this kinetic model ar
e compared with results of earlier polarwind models based on different
approximations of the plasma transport equations.