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arXiv · 0906.1547

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

Benoit Pausader·Shuanglin Shao
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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.

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Benoit Pausader, Shuanglin Shao. 2009-06-08. The mass-critical fourth-order Schrodinger equation in high dimensions. https://arxiv.org/abs/0906.1547

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