Lecture: Prof. Ziyan Zhao, 14:00-15:00, 27, April, 2018

Date:2018-04-16Views:135

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.