  We consider a metallic wire coupled to two metallic electrodes via two
junctions placed nearby. A bias voltage applied to one of such junctions alters
the electron distribution function in the wire in the vicinity of another
junction thus modifying both its noise and the Coulomb blockade correction to
its conductance. We evaluate such interaction corrections to both local and
non-local conductances demonstrating non-trivial Coulomb anomalies in the
system under consideration. Experiments on non-local electron transport with
Coulomb effects can be conveniently used to test inelastic electron relaxation
in metallic conductors at low temperatures.
