| 一类非均匀介质中多维非线性Schrdinger方程组的初值和初边值问题 |
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| 引用本文： | 郭柏灵.一类非均匀介质中多维非线性Schrdinger方程组的初值和初边值问题[J].厦门大学学报(自然科学版),1990(1). |
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| 作者姓名： | 郭柏灵 |
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| 作者单位： | 北京应用物理与计算数学研究所 厦门大学兼职教授 |
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| 摘 要： | 应用积分估计和不动点原理证明了一类非均匀介质中非线性 Schrodinger 方程组初值和初边值部题整体光滑解的存在唯一性,同时也讨论了解的“blow up”问题。
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| 关 键 词： | 光滑解 存在性 唯一性 破裂性 |
The Initial Value Problem and the Initial-Boundary Value Problem of One Class of the System for Multidimensional Nonlinear Schrodinger Equations In Nonhomogeneous Medium |
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| Guo Boling.The Initial Value Problem and the Initial-Boundary Value Problem of One Class of the System for Multidimensional Nonlinear Schrodinger Equations In Nonhomogeneous Medium[J].Journal of Xiamen University(Natural Science),1990(1). |
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| Authors: | Guo Boling |
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| Institution: | Inst. of Appl. Phy. and Compu. Math. |
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| Abstract: | By using the Integra estimations and the fixed point argument, the existence and uniqueness of the global smooth solution for the initial value problem and the initial-boundary value problem of one class of the system of multidimensional nonlinear Schrodinger equations in nonhomogeneous medium havebeen obtaind.The"blow up" problem also has been discussed in this paper. |
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| Keywords: | Smooth solution Existence Uniqueness Blowup |
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