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arXiv · 1612.08460

On a bilinear Strichartz estimate on irrational tori and some application

Chenjie Fan·Gigliola Staffilani·Hong Wang·Bobby Wilson
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Abstract

We prove a bilinear Strichartz type estimate for irrational tori via a decoupling type argument, \cite{bourgain2014proof}, recovering and generalizing the result of \cite{de2006global}. As a corollary, we derive a global well-posedness result for the cubic defocusing NLS on two dimensional irrational tori with data of infinite energy.

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Chenjie Fan, Gigliola Staffilani, Hong Wang, Bobby Wilson. 2016-12-26. On a bilinear Strichartz estimate on irrational tori and some application. https://arxiv.org/abs/1612.08460

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