| 二维空间中具有积分型非线性Schrodinger方程组的初值问题 |
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| 引用本文： | 黄海洋.二维空间中具有积分型非线性Schrodinger方程组的初值问题[J].数学研究,1996(2). |
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| 作者姓名： | 黄海洋 |
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| 作者单位： | 北京师范大学数学系 |
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| 摘 要： | 具有积分型非线性ｓｃｈｒｏｄｉｎｇｅｒ方程是在研究非线性Ｌａｎｇｍｕｉｒ波时考虑到离子惯性作用而导出的．本文讨论了二维空间中具有积分型非线性ｓｃｈｒｏｄｉｎｇｅｒ方程组的初值问题，用积分估计方法证明了整体解的存在唯一性．
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| 关 键 词： | Schrodinger方程组，非线性积分项 |
On the Initial Value Problem of the Schrodinger Equation with a Nonlinear Integral Term in Two Dimensional Space |
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| Huang Haiyang.On the Initial Value Problem of the Schrodinger Equation with a Nonlinear Integral Term in Two Dimensional Space[J].Journal of Mathematical Study,1996(2). |
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| Authors: | Huang Haiyang |
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| Abstract: | The Schrodinger equation with a nonlinear integral term is deduced from the study of the nonlinear Langmuir wave of plasma with the influence of ion inertia.In this paper,the initial value problem of the Schrodinger equations with a nonlinear integral term in two dimensional space is considered,and the existence and the uniqueness of the global solution are proved with the integral estimate method. |
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| Keywords: | Schrodinger equations A nonlinear integral term |
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