I stabilized a soldier, but I couldn't revive him. Will he die at the end of the mission?
In order to revive someone, you need a special skill from the Support tree. Otherwise, you'll always just stabilize them.
Stabilized soldiers will live to fight another day, although they take a Will hit. This makes them more likely to panic and succumb to Psi attacks in the future.
Like any wounded soldier he will need some time to recover(it takes much longer though)
But the thing about stabilized soldiers is they get a permanent -15 will.
if you beat the mission, they will survive, but if you fail or abort, the stabilized units will die. just happened to me and i lost two high level supports.