  The nonrelativistic limit of a semilinear field equation is considered in a
uniform and isotropic space.The scale-function of the space is constructed
based on the Einstein equation.The Cauchy problem of the limit-equation is
considered,and global and blow-up solutions are shown in Sobolev spaces. The
role of spatial variance on the problem is studied,and some dissipative
properties of the limit-equation are remarked.
