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 ...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.展开更多
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
文摘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.
