請用此 Handle URI 來引用此文件：
http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/33382完整後設資料紀錄
| DC 欄位 | 值 | 語言 |
|---|---|---|
| dc.contributor.advisor | 林太家 | |
| dc.contributor.author | Pen-Yuan Hsu | en |
| dc.contributor.author | 許本源 | zh_TW |
| dc.date.accessioned | 2021-06-13T04:37:33Z | - |
| dc.date.available | 2009-07-20 | |
| dc.date.copyright | 2006-07-20 | |
| dc.date.issued | 2006 | |
| dc.date.submitted | 2006-07-18 | |
| dc.identifier.citation | V.V.Konotop and P.Pacciani, Collapse of Solutions of the Nonlinear Schrodinger Equation with a Time-Dependent Nonlinearity:Application to Bose-Einstein Condensates,PRL 94 240405 (2005)
Tai-Chia Lin and Juncheng Wei, Solitary and Self-similar Solutions of Two-component System of Nonlinear Schrodinger Equations,to appear in Physica D. O.S. Rozanova , Hydrodynamic approach to constructing solutions of nonlinear Schrodinger equation in the critical case,Proc. American Math. Soc. 133 no.8 (2005),2347-2358. Zhou Gang, I. M. Sigal , On Soliton Dynamics in Nonlinear Schrodinger Equations,to appear in Geometric and Functional Analysis | |
| dc.identifier.uri | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/33382 | - |
| dc.description.abstract | 此篇論文裡,我們研究的是非線性薛丁格方程組的爆破解,方程組中的非
線性項係數為時間的函數。主要定理說明了此方程組能找到一組解 (Φ,Ψ)使得∥▽Φ∥L2(Ω)和∥▽Ψ∥L2(Ω)同時爆破,但我們並不清楚∥Φ∥L∞(Ω)和∥Ψ∥L∞(Ω)是否會同時爆破。 | zh_TW |
| dc.description.abstract | Here we study finite-time blow-up solutions of two-component system of nonlinear
Schr¨odinger equations with a time-dependent nonlinearity. From main theorem in this paper, the system may have a solution (Φ,Ψ) such that both ∥▽Φ∥L2(Ω) and ∥▽Ψ∥L2(Ω) blow up at the same time but we don’t know whether ∥Φ∥L∞(Ω) and ∥Ψ∥L∞(Ω) blow up simultaneously. | en |
| dc.description.provenance | Made available in DSpace on 2021-06-13T04:37:33Z (GMT). No. of bitstreams: 1 ntu-95-R93221023-1.pdf: 531407 bytes, checksum: cbad1c7a2127215e52d8eccc5d02f4b5 (MD5) Previous issue date: 2006 | en |
| dc.description.tableofcontents | Contents
Abstract(in Chinese) i Abstract(in English) ii Contents iii 1.Introduction 1 2.Preliminary 4 3.Proof of Theorem 1.1 11 References 14 | |
| dc.language.iso | en | |
| dc.subject | 非線性薛丁格 | zh_TW |
| dc.subject | 爆破解 | zh_TW |
| dc.subject | Nonlinear Schrodinger Equation | en |
| dc.subject | Blow up solution | en |
| dc.title | 非線性薛丁格方程組的爆破解 | zh_TW |
| dc.title | Blow up solutions of coupled systems of Nonlinear Schrodinger Equations with a Time-Dependent Nonlinearity | en |
| dc.type | Thesis | |
| dc.date.schoolyear | 94-2 | |
| dc.description.degree | 碩士 | |
| dc.contributor.oralexamcommittee | 郭忠勝,陳俊全 | |
| dc.subject.keyword | 非線性薛丁格,爆破解, | zh_TW |
| dc.subject.keyword | Nonlinear Schrodinger Equation,Blow up solution, | en |
| dc.relation.page | 15 | |
| dc.rights.note | 有償授權 | |
| dc.date.accepted | 2006-07-19 | |
| dc.contributor.author-college | 理學院 | zh_TW |
| dc.contributor.author-dept | 數學研究所 | zh_TW |
| 顯示於系所單位： | 數學系 | |
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