ホシノ ガク   HOSHINO Gaku
  星埜 岳
   所属   東京電機大学  理工学部 理工学科 理学系
   東京電機大学大学院  理工学研究科 理学専攻
   職種   助教(任期付)
言語種別 英語
発行・発表の年月 2019/01
形態種別 学術研究論文
査読 査読有り
標題 Scattering for solutions of a dissipative nonlinear Schrödinger equation
執筆形態 単著
掲載誌名 Journal of Differential Equations
掲載区分国外
著者・共著者 Gaku Hoshino
概要 © 2018 Elsevier Inc. In this study, we consider the Cauchy problem for a dissipative nonlinear Schrödinger equation. In particular, we show that for any data which belong to the weighted Lebesgue space FHγwith some 0<γ≤min⁡(n/2,1) the solutions to a dissipative nonlinear Schrödinger equation with the nonlinear exponent 1+4/(n+2γ)<p<1+4/n behave like the free solutions in FHγat time positive infinity. The lower bound for p is less than the Strauss exponent for some 0<γ≤min⁡(n/2,1) and if the critical case γ=n/2 the lower bound is equal to 1+2/n. The main idea of proof is based on an a priori estimate for solutions in FHγof fractional order.
DOI 10.1016/j.jde.2018.10.016
ISSN 00220396
PermalinkURL https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85054862015&origin=inward