On a bilinear Strichartz estimate on irrational tori and some application
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.
- Publication:
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arXiv e-prints
- Pub Date:
- December 2016
- arXiv:
- arXiv:1612.08460
- Bibcode:
- 2016arXiv161208460F
- Keywords:
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- Mathematics - Analysis of PDEs
- E-Print:
- Final version. To appear in Analysis and PDE