Scattering theory for the defocusing fourth-order Schrödinger equation
Scattering theory for the defocusing fourth-order Schrödinger equation
In this paper, we study the global well-posedness and scattering theory for the defocusing fourth-order nonlinear Schrödinger equation (FNLS) in dimensions . We prove that if the solution u is apriorily bounded in the critical Sobolev space, that is, with all if p is an even integer or otherwise, then …