@article{5352cc5b65e048e682e3f5b8b81bd615,

title = "Large Time Asymptotics For The Fractional Nonlinear Schr{\"o}dinger Equation",

abstract = "We consider the Cauchy problem for the fractional nonlinear Schr{\"o}dinger equation (Formula Presented) where λ ϵ ℝ, the order of the fractional derivative α ϵ (Formula Presented). We obtain the large time asymptotic behavior of solutions which has a logarithmic phase modifications for a large time comparing with the linear problem.",

author = "Nakao Hayashi and Naumkin, {Pavel I.}",

note = "Funding Information: This completes the proof of the asymptotics (1.4). Theorem 1.1 is proved. Acknowledgments. We are grateful to unknown referees for many useful suggestions and comments. The work of N.H. is partially supported by JSPS KAKENHI Grant Numbers 15H03630 and 19H05597. The work of P.I.N. is partially supported by CONACYT 283698 and PAPIIT project IN100616. Publisher Copyright: {\textcopyright} 2020, Advances in Differential Equations. All Right Reserved.",

year = "2020",

month = jan,

language = "English",

volume = "25",

pages = "31--80",

journal = "Advances in Differential Equations",

issn = "1079-9389",

publisher = "Khayyam Publishing, Inc.",

number = "1-2",

}