On a bilinear Strichartz estimate on irrational tori
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Author(s)
Fan, Chenjie
Staffilani, Gigliola
Wang, Hong
Wilson, Bobby
Date Issued
January 2018
Journal
Analysis & PDE
Publisher
Mathematical Sciences Publishers
Citation
Fan, Chenjie et al. “On a Bilinear Strichartz Estimate on Irrational Tori.” Analysis & PDE 11, 4 (January 2018): 919–944 © 2018 Mathematical Sciences Publishers
Version
Author's final manuscript
Abstract
We prove a bilinear Strichartz-type estimate for irrational tori via a decoupling-type argument, as used by Bourgain and Demeter (2015), recovering and generalizing a result of De Silva, Pavlovi'c, Staffilani and Tzirakis (2007). 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.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
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Creative Commons Attribution-Noncommercial-Share Alike
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DOI of Published Version
https://doi.org/10.2140/apde.2018.11.919
