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Continuous Dependence for Nonlinear Schrödinger Equation in Hs
http://hdl.handle.net/2261/54909
http://hdl.handle.net/2261/5490943854742-b72e-4f67-a966-d5f9d1559f8d
名前 / ファイル | ライセンス | アクション |
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Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
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公開日 | 2013-06-19 | |||||
タイトル | ||||||
タイトル | Continuous Dependence for Nonlinear Schrödinger Equation in Hs | |||||
言語 | ||||||
言語 | eng | |||||
資源タイプ | ||||||
資源 | http://purl.org/coar/resource_type/c_6501 | |||||
タイプ | departmental bulletin paper | |||||
著者 |
Uchizono, Harunori
× Uchizono, Harunori× Wada, Takeshi |
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著者所属 | ||||||
著者所属 | Department of Mathematics, Faculty of Engineering, Kumamoto University | |||||
抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | This paper is concerned with the well-posedness, especially with the continuity of the solution map of the nonlinear Schrödinger equation i∂tu + Δu = f(u), u(x, 0) = φ(x) on R(n+1). Here, f(u) = c0|u|σu, c0 ∈ C and σ > 0. If 1 < s < min(n/2, 2) and 0 < σ < 4/(n - 2s), the solution map φ|→ u is continuous as a map from Hs to C([0, T], Hs) for some T > 0. The proof is based on the estimates in the fractional order Besov spaces both for time and space variables. | |||||
書誌情報 |
Journal of mathematical sciences, the University of Tokyo 巻 19, 号 1, p. 57-68, 発行日 2012-06-20 |
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ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 13405705 | |||||
書誌レコードID | ||||||
収録物識別子タイプ | NCID | |||||
収録物識別子 | AA11021653 | |||||
日本十進分類法 | ||||||
主題 | 415 | |||||
主題Scheme | NDC | |||||
Mathematical Reviews Number | ||||||
MR | ||||||
Mathmatical Subject Classification | ||||||
35Q55(MSC2010) | ||||||
出版者 | ||||||
出版者 | Graduate School of Mathematical Sciences, The University of Tokyo | |||||
原稿受領日 | ||||||
2011-11-17 |