Scattering for the focusing energy-subcritical NLS

Abstract

For the 3D focusing cubic nonlinear Schrodinger equation, Scattering of $H^1$ solutions inside the (scale invariant) potential well was established by Holmer and Roudenko~\cite{HR2} (radial case) and Duyckaerts, Holmer and Roudenko~\cite{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~\cite{DHR}.

30 pages

References in corpus (2)

• A sharp condition for scattering of the radial 3d cubic nonlinear Schroedinger equation
• On blow-up solutions to the 3D cubic nonlinear Schroedinger equation

Cited by in corpus (1)

• Some Results on the Scattering Theory for a Schrödinger Equation with Combined Power-Type Nonlinearities