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In this article, we investigate the initial value problem(IVP) associated with the defocusing nonlinear wave equation on R~2 as follows:{?_(ttu)-△u =-u~3,u(0, x) = u_0(x), ?_(tu)(0, x) = u_1(x),where the initial data(u_0, u_1) ∈ H~s(R~2) × H~(s-1)(R~