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| 研究生： |
王品瑜 Wang, Pin-Yu |
|---|---|
| 論文名稱： |
關於一維的廣義量子Zakharov系統的局部適定性結果 A result of local well-posedness for the general quantum Zakharov system in one dimension |
| 指導教授： |
史習偉
Shih, Hsi-Wei |
| 學位類別： |
碩士 Master |
| 系所名稱： |
理學院 - 數學系應用數學碩博士班 Department of Mathematics |
| 論文出版年： | 2020 |
| 畢業學年度： | 108 |
| 語文別： | 英文 |
| 論文頁數： | 76 |
| 中文關鍵詞： | Zakharov 系統 、量子 Zakharov 系統 、general Zakharov 系統 、general 量子 Zakharov 系統 、局部適定性 、Strichartz 估計 、四階薛丁格方程 、四階波方程 |
| 外文關鍵詞： | Zakharov system, quantum Zakharov system, general Zakharov system, general quantum Zakharov system, local well-posedness, Strichartz estimates, fourth-order Schrödinger equation, fourth-order wave equation |
| 相關次數： | 點閱：134 下載：20 |
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在這篇論文裡我們探討了一維的 general quantum Zakharov system 在一個 distinguishied polynomial 狀況下的局部適定性問題，見(1.1)-(1.2)。此系統是接續 [9] 以 及 [6] 的延伸，我們將使用 Bourgain space，[10] 中使用的方法，[8, 15] 拓展 [10] 的一些工具，給出 QZSγ, γ = 1.5，Schrödinger 方程捨掉絕對值狀況的局部適定性範圍。
In this paper, we consider the local well-posedness problem for the general quantum Zakharov system in the distinguished polynomial case in 1-dimension. This system is extended from [9] and [6]. Use Bourgain space, the method in [10], and some tools in [8, 15] which was extended form [10], we will give the well-posed region for QZSγ in γ = 1.5. Schrödinger part considered here do not with an absolute value like what appears in Schrödinger equation of QZSγ.
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