  We classify the cosmological behaviors of the domain wall under junctions
between two spacetimes in terms of various parameters: cosmological constants
of bulk spacetime, a tension of a domain wall, and mass parameters of the black
hole-type metric. Especially, we consider the false-true vacuum type junctions
and the domain wall connecting between an inner AdS space and an outer AdS
Reissner-Nordstr${\rm \ddot{o}}$m black hole. We find that there exist a
solution to the junction equations with an inflation at earlier times and an
accelerating expansion at later times.
