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arXiv · 1205.6136

On scattering for the quintic defocusing nonlinear Schr\"odinger equation on \R \times \T^2

Zaher Hani·Benoit Pausader
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Abstract

We consider the problem of large data scattering for the quintic nonlinear Schr\"odinger equation on $\R \times \T^2$. This equation is critical both at the level of energy and mass. Most notably, we exhibit a new type of profile (a "large scale profile") that controls the asymptotic behavior of the solutions.

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Zaher Hani, Benoit Pausader. 2012-05-28. On scattering for the quintic defocusing nonlinear Schr\"odinger equation on \R \times \T^2. https://arxiv.org/abs/1205.6136

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