Zhou Gang, I.M.Sigal
Asymptotic Stability of Nonlinear Schr\"odinger Equations with 
Potential
(165K, LaTeX 2e with 2 PS Figures)

ABSTRACT.  We prove asymptotic stability of trapped solitons in the 
generalized nonlinear Schr\"odinger equation with a potential in 
dimension 1 and for even potential and even initial conditions.