R201, Astronomy-Mathematics Building, NTU
(台灣大學天文數學館 201室)
Modified Scattering for the Cubic Schrödinger Equation Small Data Solution on Product Space
Grace Liu (University of California, Berkeley)
Abstract:
We consider the long time behavior of solutions to the cubic nonlinear Schrödinger equation posed on the spatial domain 
, 
. For sufficiently small, smooth, decaying data we prove global existence and derive modified asymptotic dynamics by wave packet technique.
