Boundedness of solutions to Ginzburg-Landau fractional Laplacian equation

被引：15
|
作者：
Ma, Li [1 ,2 ]
机构：
[1] Henan Normal Univ, Zhongyuan Inst Math, Xinxiang 453007, Peoples R China
[2] Henan Normal Univ, Dept Math, Xinxiang 453007, Peoples R China
来源：
INTERNATIONAL JOURNAL OF MATHEMATICS | 2016年 / 27卷 / 05期
基金：
中国国家自然科学基金;
关键词：
Kato inequality; Ginzburg-Landau model; fractional Laplacian equation;
D O I：
10.1142/S0129167X16500488
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we give the boundedness of solutions to Ginzburg-Landau fractional Laplacian equation, which extends the Herve-Herve theorem into the nonlinear fractional Laplacian equation. We follow Brezis' idea to use the Kato inequality. A related linear fractional Schrodinger equation is also studied.
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收藏
页数：6
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