Type: Article

Nonlinear Schrödinger systems in 2d with nondecaying final data

Hayashi, Nakao; Li, Chunhua; Naumkin, Pavel I.;

Abstract:

We consider nonlinear Schrödinger systems with quadratic nonlinearities in two space dimensions. We prove the existence of modified wave operators and uniform time decay of solutions when the Fourier transform of the final data does not necessarily decay at spatial infinity and is small in uniform norm.