Applied Mathematics Seminar- Scattering below the ground state for the radial focusing NLS

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

Speaker:  Jason Murphy, UCLA

Date and Time:  April 28, 2017, Friday,1:00 pm-2:00pm

Place:   Rome 771

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.