@article{21294ea36d9f48ebac4a6bd1eb9c7c8e,
title = "Analysis of (CR) in higher dimension",
abstract = "This article is devoted to the analysis of the continuous resonant (CR) equation, in dimensions greater than 2. This equation arises as the large box (or high frequency) limit of the nonlinear Schr{\"o}dinger equation on the torus, and was derived in a companion paper by the same authors. We initiate the investigation of the structure of (CR), its local well-posedness, and the existence of stationary waves.",
author = "Tristan Buckmaster and Pierre Germain and Zaher Hani and Jalal Shatah",
note = "Funding Information: This work was supported by the National Science Foundation [DMS-1600868 to T.B.]; National Funding Information: This work was supported by the National Science Foundation [DMS-1600868 to T.B.]; National Science Foundation [DMS-1301380 to P.G.]; National Science Foundation [DMS-1363013 to J.S.]; National Science Foundation [DMS-1600561 to J.S.], a Sloan Fellowship, and a startup fund from Georgia Institute of Technology. Funding Information: National Science Foundation [DMS-1600561 to J.S.], a Sloan Fellowship, and a startup fund from Publisher Copyright: {\textcopyright} The Author(s) 2017.",
year = "2019",
month = feb,
day = "20",
doi = "10.1093/imrn/rnx156",
language = "English (US)",
volume = "2019",
pages = "1265--1280",
journal = "International Mathematics Research Notices",
issn = "1073-7928",
publisher = "Oxford University Press",
number = "4",
}