Wave Seminar Stability and instability of standing waves for the nonlinear Schr\"{o}dinger equation with the Hartree nonlinearity

Date
2007-02-06 16:00 - 2007-02-06 17:30
Place
Faculty of Science Building #3 Room 311, Hokkaido University
Speaker/Organizer
Y. Kimura (Hokkaido University)
 
We consider the stability and instability of standing waves forthe nonlinear Schr\"{o}dinger equation with the Hartree nonlinearity.In this talk, we show the existence and stability (or instability) ofstanding waves by variational method. The proof relies on theconcentration-compactness principle due to Lions.

http://coe.math.sci.hokudai.ac.jp/sympo/wave/index_en.html