A new proof of scattering below the ground state for the 3d radial focusing cubic NLS

By B. Dodson, Jason Murphy. 2016

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We revisit the scattering result of Holmer and Roudenko on the radial focusing cubic NLS in three space dimensions. Using the radial Sobolev embedding and a virial/Morawetz estimate, we give a simple proof of scattering below the ground state that avoids the use of concentration compactness.

Subfields: Atomic and Molecular Physics, and Optics, Mathematical Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/3fb58d1ed7b48d929614e2fcf6a71d0267e3d994