Scattering threshold for the focusing coupled Schrodinger system revisited

被引：6
作者：
Saanouni, Tarek [1 ,2 ]
机构：
[1] Qassim Univ, Coll Sci & Arts Uglat Asugour, Dept Math, Buraydah, Saudi Arabia
[2] Univ Tunis El Manar, Fac Sci Tunis, Partial Differential Equat & Applicat LR03ES04, Tunis 2092, Tunisia
来源：
NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS | 2021年 / 28卷 / 04期
关键词：
Nonlinear Schrodinger system; Ground state; Global existence; Scattering; GLOBAL WELL-POSEDNESS; BLOW-UP;
D O I：
10.1007/s00030-021-00706-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This note investigates the coupled Schrodinger system iu(j) + Delta u(j) = - (Sigma(m)(k=1) a(jk)vertical bar u(k)vertical bar(p)) vertical bar u(j)vertical bar(p-2)u(j). Indeed, beyond the mass-energy threshold given in Saanouni (Appl Anal, 2020. https://doi.org/10.1080/00036811.2020.1808201), a scattering versus finite time blow-up dichotomy is obtained in the mass super-critical and energy sub-critical regime. Moreover, one extends the previous work [18] to the non-radial case.
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页数：33
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