Scattering for focusing combined power-type NLS

Authors
Xie, Jian
Citation
Xie, Jian, Scattering for focusing combined power-type NLS, Acta mathematica Sinica. English series (Print) , 30(5), 2014, pp. 805-826
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
30
Issue
5
Year of publication
2014
Pages
805 - 826
Database
ACNP
SICI code
Abstract
We consider the scattering of Cauchy problem for the focusing combined power-type Schrödinger equation. In the spirit of concentration-compactness method, we will show that, H 1 solution will scatter under some condition on its energy and mass. We adapt some variance argument, following the idea of Ibrahim-Masmoudi-Nakanishi.