On a bilinear Strichartz estimate on irrational tori

Author(s)
Fan, Chenjie; Staffilani, Gigliola; Wang, Hong; Wilson, Bobby
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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.
Date issued
2018-01
URI
http://hdl.handle.net/1721.1/115979
Department
Massachusetts Institute of Technology. Department of Mathematics
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
ISSN
1948-206X
2157-5045
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