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consider the energy-supercritical cases, that is, $p\\in (\\frac4{d-2},+\\infty)$.\n  We prove that for radial initial data with high frequency, if it is outgoing (or incoming) and in rough space $H^{s_1}(\\mathbb{R}^d)$ $(s_1<s_c)$ or its Fourier transform belongs to $W^{s_2,1}(\\mathbb{R}^d)$ $(s_2<s_c)$, the corresponding solution is global and scatters forward (or backward) 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