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.

引用

页数：6

共 13 条

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