Inhomogeneous coupled non-linear Schrodinger systems

被引：10

作者：

Saanouni, Tarek ^{[1
]}

Ghanmi, Radhia ^{[2
]}

机构：

[1] Qassim Univ, Coll Sci & Arts Uglat Asugour, Dept Math, Buraydah, Saudi Arabia

[2] Univ Tunis Manar, Fac Sci Tunis, LPOSES04 Partial Differential Equat & Applicat, Tunis 2092, Tunisia

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2021年 / 62卷 / 10期

关键词：

STANDING WAVES; WELL-POSEDNESS; GROUND-STATE; BLOWING-UP; EQUATIONS; STABILITY; EXISTENCE; INSTABILITY; SCATTERING; SPACE;

D O I：

10.1063/5.0047433

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

This work studies an inhomogeneous Schrodinger coupled system in the mass-super-critical and energy-sub-critical regimes. In the focusing sign, a sharp dichotomy of global existence and scattering vs finite time blow-up of solutions is obtained using some variational methods, a sharp Gagliardo-Nirenberg-type inequality, and a new approach of Dodson and Murphy [Proc. Am. Math. Soc. 145(11), 4859-4867 (2017)]. In the defocusing sign, using a classical Morawetz estimate, the scattering of global solutions in the energy space is proved.

引用

页数：37

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