11/13/2003
Avraham Soffer
University of Texas at Austin
Multichannel Nonlinear Scattering
Abstract
Analysis of the large time behavior of Nonlinear Dispersive equations is important in many fields of science. The dyanmics of Solitons , Vortices, Kinks and other coherent structures of the fundamental equations of Mathematical Physics, are all manifestations of the problem asymptotic stability and completeness of nonlinear dispersive waves. In this talk I'll describe the general problem for NLS type equations and the recent results on NLS with Multibound states.