Existence of Minimizers for Some Coupled Nonlinear Schrödinger Equations

Existence of Minimizers for Some Coupled Nonlinear Schrödinger Equations
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一些耦合非线性薛定谔方程极小化器的存在性

DOI:
10.1007/978-88-470-2841-8_10
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发表时间:
2013
期刊:
影响因子:
--
通讯作者:
N. Ikoma
N. Ikoma
中科院分区:
--
文献类型:
--
作者:
N. Ikoma

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考虑两个最小化问题的最小化器的存在和不存在。这些问题与非线性光学领域中出现的三个耦合非线性薛定谔方程有关。我们观察了两个最小化问题之间的关系,并研究了代表非局部非线性的系数趋于0时的渐近行为。
The existence and nonexistence of minimizers for two minimizing problems are considered. These problems are related to three coupled nonlinear Schrödinger equations which appear in the field of nonlinear optics. We observe the relationship between two minimizing problems and also study the asymptotic behavior when the coefficient standing for the nonlocal nonlinearity tend to 0.
DOI: 10.1090/s0002-9939-09-10090-4
发表时间: 2009-10
期刊: --
影响因子: --
作者:
Jinyong Chang;Zhaoli Liu
通讯作者: Jinyong Chang;Zhaoli Liu