THE MASS-CRITICAL FOURTH-ORDER SCHRĂ–DINGER EQUATION IN HIGH DIMENSIONS
THE MASS-CRITICAL FOURTH-ORDER SCHRĂ–DINGER EQUATION IN HIGH DIMENSIONS
We prove global wellposedness and scattering for the Mass-critical homogeneous fourth-order Schrödinger equation in high dimensions n ≥ 5, for general L 2 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 …