  In this paper, given a smooth proper scheme X over a p-adic dvr and a p-power
torsion etale local system L on it, we study a family of sheaves associated to
the cohomology of local relative (Phi-Gamma)-modules of L and their cohomology.
As applications we derive descriptions of the etale cohomology groups on the
geometric generic fiber of X with values in L, as well as of their classical
(Phi-Gamma)-modules, in terms of cohomology of the above mentioned sheaves.
