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.