期刊论文

Wang, Hua

英文

Journal of Mathematical Physics

0022-2488

2019

60

12

121508

10.1063/1.5119293

The first author is financially supported by the China National Science Foundation (Grant Nos. 11771165 and 11571131), and the second author is financially supported by the China National Science Foundation (Grant No. 11571261). The authors also express their sincere gratitude to the anonymous referee for pointing out a serious problem in the Proofs of Lemmas 3.1 and 3.2 and giving all insightful comments and valuable suggestions, based on which the paper was revised. The first author is financially supported by the China National Science Foundation (Grant Nos. 11771165 and 11571131), and the second author is financially supported by the China National Science Foundation (Grant No. 11571261). The authors also express their sincere gratitude to the anonymous referee for pointing out a serious problem in the Proofs of Lemmas 3.1 and 3.2 and giving all insightful comments and valuable suggestions, based on which the paper was revised.

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In this paper, we consider a 5D quadratic nonlinear Schrodinger system: iu(t) + Delta u = -2v (u) over bar, iv(t) + k Delta v = -u(2), and (t, x) is an element of R x R-5, k > 0. If k=1/2, we say the system satisfies the mass-resonance condition. Using the argument of Dodson and Murphy [Math. Res. Lett. 25, 1805 (2018)], we prove that the solution (u.v) scatters if initial data (u(0), v(0)) is an element of H-1(R-5) x H-1(R-5) satisfy E(u(0), v(0))M(u(0), v(0)) < E(Q(1), Q(2))M(Q(1), Q(2)) and K(u(0), v(0))M(u(0), v(0)) < K(Q(1), Q(2))M(Q(1), Q(2)) and k lies in some small neighborhood of 1/2....