The mass-critical fourth-order Schrodinger equation in high dimensions

Abstract

We prove global wellposedness and scattering for the Mass-critical homogeneous fourth-order Schrodinger equation in high dimensions n>4, 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 case.

49 pages

References in corpus (5)

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