| 具有位势的非线性Schrodinger方程解的全局存在性 |
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| 引用本文： | 李宝平.具有位势的非线性Schrodinger方程解的全局存在性[J].大连交通大学学报,2014(4):115-117. |
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| 作者姓名： | 李宝平 |
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| 作者单位： | 电子科技大学成都学院,四川成都611731 |
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| 基金项目： | 四川教育厅科学研究计划资助项目（132B0327） |
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| 摘 要： | 为了研究一类具有位势的非线性Schrodinger方程解的全局存在性,构建了三个适当的泛函,之后设置了一个变分问题,结合变分学原理及非线性Schrodinger方程关于时间的不变流形,得到了Schro-dinger方程柯西问题的解的全局存在性.
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| 关 键 词： | 非线性Schrodinger方程 存在性 变分原理 |
Global Existence of Solutions for Nonlinear Schrodinger Equations with Potential |
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| LI Bao-ping.Global Existence of Solutions for Nonlinear Schrodinger Equations with Potential[J].Journal of Dalian Jiaotong University,2014(4):115-117. |
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| Authors: | LI Bao-ping |
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| Institution: | LI Bao-ping (Chengdu College Of University of Electronic Science and Technology of China, Chengdu 611731, China) |
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| Abstract: | In order to study global existence of the solution for a class of nonlinear Schrodinger equations with potential,three appropriate functionals are constructed,and a variational problem is set up.By combining the variational principles and time invariant manifolds of nonlinear Schrodinger equations,global existence of the solution for the Cauchy problem of Schrodinger equation is obtained. |
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| Keywords: | nonlinear Schrodinger equation existence variational principle |
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