Scattering for the focusing energy-subcritical NLS
Abstract
For the 3D focusing cubic nonlinear Schrodinger equation, Scattering of H1 solutions inside the (scale invariant) potential well was established by Holmer and Roudenko~HR2 (radial case) and Duyckaerts, Holmer and Roudenko~DHR (general case). 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~DHR.
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