  We report calculations of spin relaxation dynamics of two-dimensional
electron gas with spin-orbit interaction at the edge region. It is found that
the relaxation of spin polarization near the edge is more slow than relaxation
in the bulk. That results finally in the spin accumulation at the edge. Time
dependence of spin polarization density is calculated analytically and
numerically. The mechanism of slower spin relaxation near the edge is related
to electrons reflections from the boundary and the lack of the translation
symmetry. These reflections partially compensate electron spin precession
generated by spin-orbit interaction, consequently making the spin polarization
near the edge long living. This effect is accompanied by spin polarization
oscillations and spin polarization transfer from the perpendicular to in-plane
component.
