PDE seminar: On behaviors of minimizing sequences related to a coupled nonlinear Schroedinger equation

2012-11-26 16:30 - 2012-11-26 17:30
Faculty of Science Building #3, Room 309
Norihisa Ikoma (Mathematical Institute, Tohoku University)
In this talk, we discuss the minimizing problem with two constraint
conditions and the behaviors of any minimizing sequence.
This minimizing problem is related to a coupled nonlinear Schroedinger
equations which has a nonlocal effect and appears in nonlinear optics.
We present a condition in which any minimizing sequence
has a strongly convergent subsequence after suitable translations.
We also observe a situation in which there is no minimizer.