On a bilinear Strichartz estimate on irrational tori and some application
Analysis of PDEs
2017-12-22 v3
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.
Keywords
Cite
@article{arxiv.1612.08460,
title = {On a bilinear Strichartz estimate on irrational tori and some application},
author = {Chenjie Fan and Gigliola Staffilani and Hong Wang and Bobby Wilson},
journal= {arXiv preprint arXiv:1612.08460},
year = {2017}
}
Comments
Final version. To appear in Analysis and PDE