Analysis Seminar

In this talk we prove a scattering result for Schrodinger maps with initial data small in a Besov space. This is a generalization of well-posedness results of Zi Le and and BIKT (Bejenaru, Ionescu, Kenig, Tataru) that prove global well-posedness for small energy solutions to the Schrodinger map. Here we prove the result for initial data that may have large energy, but with small energy at each Littlewood—Paley projection. This is joint work with Jeremy Marzuola.