Special Session 29: 

Stability issues for the nonlinear Schrodinger equation coupled with the Maxwell equation

Tatsuya Watanabe
Kyoto Sangyo University
Japan
Co-Author(s):    Tatsuya Watanabe
Abstract:
In this talk, we consider stability issues of solitary waves for the nonlinear Schrodinger equation coupled with Maxwell equation. First we study the existence and the uniqueness of minimizers with prescribed charge. Then by adapting the Cazenave-Loins type stability result, we study the orbital stability of standing waves.