Speaker:Ziyan Zhao
University:Nice-Sophia Antipolis
Title:Scattering for one-dimensional quasi-periodic Schrödinger equation
Abstract:We consider the one-dimensional discrete nonlinear Schrödinger equation with a small quasi-periodic potential. By establishing the dispersive estimates and Stricharz estimates for the quasi-periodic Schrödinger operator, we show that the solution to the nonlinear equation is approached asymptotically by certain solutions to the corresponding linear equation.