摘要
For the 3D focusing cubic nonlinear Schrdinger equation,scattering of H1 solutions inside the(scale invariant) potential well was established by Holmer and Roudenko(radial case) and Duyckaerts et al.(general case) in 2008. In this paper,we extend this result to arbitrary space dimensions and focusing,mass-supercritical and energy-subcritical power nonlinearities,by adapting the method of Duyckaerts et al.
For the 3D focusing cubic nonlinear SchrSdinger equation, scattering of H1 solutions inside the （scale invariant） potential well was established by Holmer and Roudenko （radial case） and Duyckaerts et al. （general case） in 2008. In this paper, we extend this result to arbitrary space dimensions and focusing, mass-supercritical and energy-subcritical power nonlinearities, by adapting the method of Duyckaerts et al.
基金
supported by National Natural Science Foundation of China (Grants Nos. 10871175, 10931007)
Zhejiang Natural Science Foundation (Grants No. Z6100217)
Zhejiang University's Pao Yu-Kong International Fund
关键词
立方非线性
临界功率
方程
能源
散射
空间尺寸
超临界
nonlinear SchrSdinger equation, scattering, mass-supercritical and energy-subcritical
