THE MASS-CRITICAL FOURTH-ORDER SCHRÖDINGER EQUATION IN HIGH DIMENSIONS
Abstract
We prove global wellposedness and scattering for the Mass-critical homogeneous fourth-order Schrödinger equation in high dimensions n ≥ 5, for general L2 initial data in the defocusing case, and for general initial data with Mass less than certain fraction of the Mass of the ground state in the focusing case.