The mass-critical fourth-order Schrodinger equation in high dimensions
Analysis of PDEs
2009-06-09 v2
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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Cite
@article{arxiv.0906.1547,
title = {The mass-critical fourth-order Schrodinger equation in high dimensions},
author = {Benoit Pausader and Shuanglin Shao},
journal= {arXiv preprint arXiv:0906.1547},
year = {2009}
}
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49 pages