On a bilinear Strichartz estimate on irrational tori

Chenjie Fan; Gigliola Staffilani; Hong Wang; Bobby Wilson

doi:10.2140/apde.2018.11.919

On a bilinear Strichartz estimate on irrational tori

Chenjie Fan, Gigliola Staffilani, Hong Wang, Bobby Wilson

Mathematics

Research output: Contribution to journal › Article › peer-review

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.

Original language	English (US)
Pages (from-to)	919-944
Number of pages	26
Journal	Analysis and PDE
Volume	11
Issue number	4
DOIs	https://doi.org/10.2140/apde.2018.11.919
State	Published - 2018

Keywords

Bilinear Strichartz
Decoupling

ASJC Scopus subject areas

Analysis
Numerical Analysis
Applied Mathematics

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10.2140/apde.2018.11.919

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AU - Wang, Hong

AU - Wilson, Bobby

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AB - 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.

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On a bilinear Strichartz estimate on irrational tori

Abstract

Keywords

ASJC Scopus subject areas

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