On a bilinear Strichartz estimate on irrational tori and some application

2016/12/26 by Chenjie Fan, Fan, Chenjie, Gigliola Staffilani +5 · 1 citation
Mathematics · Physics and Astronomy · #Advanced Harmonic Analysis Research #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #Black Holes and Theoretical Physics #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.1612.08460

openalex publication_date 2016/12/26 · openalex created_date 2017/02/10 · openalex updated_date 2026/07/28

Abstract

We prove a bilinear Strichartz type estimate for irrational tori via a decoupling type argument, \citebourgain2014proof, recovering and generalizing the result of \citede2006global. 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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