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, Pavlović, 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.
Citation
Chenjie Fan. Gigliola Staffilani. Hong Wang. Bobby Wilson. "On a bilinear Strichartz estimate on irrational tori." Anal. PDE 11 (4) 919 - 944, 2018. https://doi.org/10.2140/apde.2018.11.919
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