Special Session 52: 

Asymptotic behavior of solutions to nonlinear Schrodinger equation with a critical homogeneous nonlinearity

Satoshi Masaki
Osaka university
Japan
Co-Author(s):    Hayato Miyazaki, Kota Uriya
Abstract:
In this talk, we consider nonlinear Schr\odinger equation with a general homogeneous nonlinearity of the critical order. Here, the critical means that the order is the borderline of the short range case and the long range case. The aim here is to investigate large time behavior of a solution. It was known for polynomial type nonlinearities that the behavior depends on the shape of the nonlinearity. We introduce new technique to treat non-polynomial nonlinearities.