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

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Pausader, Benoit
Shao, Shuanglin
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Abstract
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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.
Comment: 49 pages
Keywords
Mathematics - Analysis of PDEs, 35Q55
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