@article{24fb00d93f974fc39950f0bf0d3f3443,

title = "Inhomogeneous neumann-boundary value problem for nonlinear Schr{\"o}dinger equations in the upper half-space",

abstract = "We consider the inhomogeneous Neumann boundary value problem for nonlinear Schr{\"o}dinger equations (equation presented) where 1 +4/2+2 < p < 1 + 4/n-2. We present some results on asymptotic behavior in time of small solutions to the integral equation associated with the original problem.",

author = "Nakao Hayashi and Kaikina, {Elena I.} and Takayoshi Ogawa",

note = "Funding Information: xn→0 This completes the proof of Theorem 1.2. □ Acknowledgments. The work of N.H. is partially supported by JSPS KAKENHI Grant Numbers JS20K03680, JP19H05597. The work of E.I.K. is partially supported by CONACYT 252053-F and PAPIIT project IN100817. The work of T.O. is partially supported by JSPS KAKENHI Grant Number JP19H05597. Publisher Copyright: {\textcopyright} 2021 Khayyam Publishing. All right reserved.",

year = "2021",

month = nov,

language = "English",

volume = "34",

pages = "641--674",

journal = "Differential and Integral Equations",

issn = "0893-4983",

publisher = "Khayyam Publishing, Inc.",

number = "11-12",

}