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, bourgain2014proof, recovering and generalizing the result of 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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