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Inhomogeneous coupled non-linear Schrödinger systems.
- Source :
-
Journal of Mathematical Physics . Oct2021, Vol. 62 Issue 10, p1-37. 37p. - Publication Year :
- 2021
-
Abstract
- This work studies an inhomogeneous Schrödinger 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. [ABSTRACT FROM AUTHOR]
- Subjects :
- *NONLINEAR systems
*MATHEMATICS
*FINITE, The
*VARIATIONAL approach (Mathematics)
Subjects
Details
- Language :
- English
- ISSN :
- 00222488
- Volume :
- 62
- Issue :
- 10
- Database :
- Academic Search Index
- Journal :
- Journal of Mathematical Physics
- Publication Type :
- Academic Journal
- Accession number :
- 153316373
- Full Text :
- https://doi.org/10.1063/5.0047433