Scattering Problem for the Nonlinear Wav
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Kunio Hidano
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Article
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2001
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Elsevier Science
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English
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The theory of scattering is studied for the nonlinear wave equation iu+|u| r -1 u=0 in space dimensions n=3, 4. We give a new proof of the asymptotic completeness in the finite energy and conformal charge space for n=r=3. Our method is strong enough to deal with the subconformal power r < 1+4/(n -1)