|
|||||
 |
|
|
|
|
On a bilinear
Strichartz estimate on irrational tori
Chenjie Fan, Gigliola Staffilani, Hong Wang and Bobby Wilson |
|
Vol. 11 (2018), No. 4, 919–944
|
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. |
Keywords
decoupling, bilinear Strichartz
|
Mathematical Subject Classification 2010
Primary: 35Q55, 42B37
|
Milestones
Received: 23 January 2017
Revised: 7 October 2017
Accepted: 11 December 2017
Published: 12 January 2018
|
Authors |
| Chenjie Fan | |
| Department of Mathematics University of Chicago Chicago, IL United States |
|
| Gigliola Staffilani | |
| Department of Mathematics Massachusetts Institue of Technology Cambridge, MA United States |
|
| Hong Wang | |
| Department of Mathematics Massachusetts Institute of Technology Cambridge, MA United States |
|
| Bobby Wilson | |
| Department of Mathematics Massachusetts Institute of Technology Cambridge, MA United States |
|
|
