@article{815cddeac5f9425b9bdd610f17c194bb,
title = "Nonlinear Schr{\"o}dinger systems in 2d with nondecaying final data",
abstract = "We consider nonlinear Schr{\"o}dinger systems with quadratic nonlinearities in two space dimensions. We prove the existence of modified wave operators and uniform time decay of solutions when the Fourier transform of the final data does not necessarily decay at spatial infinity and is small in uniform norm.",
keywords = "35Q40, 35Q55, Modified wave operator, Nondecaying final data, Nonlinear Schr{\"o}dinger systems",
author = "Nakao Hayashi and Chunhua Li and Naumkin, {Pavel I.}",
note = "Funding Information: We would like to thank an unknown referee for useful comments. One of the authors (C.L.) would like to thank Professor N. Hayashi for the financial support by JSPS KAKENHI Grant No. 25220702 during her stay at Osaka University in February of 2015. The work of N.H. is partially supported by JSPS KAKENHI under Grant No. 25220702 and Grant No. 15H03630 . The work of C.L. is partially supported by NNSFC under Grant No. 11461074 . The work of P.I.N. is partially supported by CONACYT project 166579 and PAPIIT project IN100113 . Publisher Copyright: {\textcopyright} 2015 Elsevier Inc.",
year = "2016",
month = jan,
day = "15",
doi = "10.1016/j.jde.2015.09.033",
language = "English",
volume = "260",
pages = "1472--1495",
journal = "Journal of Differential Equations",
issn = "0022-0396",
publisher = "Academic Press Inc.",
number = "2",
}