Applied Mathematics Seminar

Title: Scattering below the ground state for the radial focusing NLS

Speaker:  Jason Murphy, UCLA

Abstract: We consider scattering below the ground state for the radial cubic focusing NLS in three dimensions.  Holmer and Roudenko originally proved this via concentration compactness and a localized virial estimate.  We present a simplified proof that avoids the use of concentration compactness, relying instead on the radial Sobolev embedding and a virial/Morawetz estimate.  This is joint work with Benjamin Dodson.