On a bilinear Strichartz estimate on irrational tori and some application
arXiv:1612.08460
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.
Final version. To appear in Analysis and PDE