Student Harmonic Analysis and PDE Seminar (HADES): Scattering and modified scattering for the NLS equation

Seminar | October 24 | 3:40-5 p.m. | 891 Evans Hall

 Grace Liu, UC Berkeley

 Department of Mathematics

The NLS with nonlinear term $|u|^p u$ has the property that when $1< p< 2/n$, there is no low energy scattering, when $2/n< p< 4/n$, there is low energy scattering. When $p=2/n$, we expect there will be modified scattering. The talk will be based on the work of Hayashi and Naumkin, they proved that the NLS with critical nonlinearity has low energy scattering when $n=1,2,3$.