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具有位势的非线性Schrodinger方程解的全局存在性 被引量:1

Global Existence of Solutions for Nonlinear Schrodinger Equations with Potential
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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Schrodinger方程柯西问题的解的全局存在性. 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.
作者 李宝平
出处 《大连交通大学学报》 CAS 2014年第4期115-117,共3页 Journal of Dalian Jiaotong University
基金 四川教育厅科学研究计划资助项目(132B0327)
关键词 非线性SCHRODINGER方程 存在性 变分原理 nonlinear Schrodinger equation existence variational principle
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