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Scattering for the Radial Schrodinger Equation with Combined Power-type and Choquard-type Nonlinearities

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摘要 In this paper,we show the scattering of the radial solution for the nonlinear Schrodinger equation with combined power-type and Choquard-type nonlinearities iut+△u=λ1|u|p1-1u+λ2(Iα*|u|^(p2))|u|p^(2-2)u.in the energy space H^(1)(R^(N))forλ_(1)λ_(2)=-1.We establish a scattering criterion for radial solution together with Morawetz estimate which implies the scattering theory.Results show that the defocusing perturbation terms does not determine the scattering solution in energy space.
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2024年第4期1029-1041,共13页 数学学报(英文版)
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