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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） |
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| 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 |