On a problem for Ward's equation with a Mittag-Leffler potential

被引：9

作者：

Ameur, Yacin ^{[1
]}

Kang, Nam-Gyu ^{[2
]}

机构：

[1] Lund Univ, Dept Math, S-22100 Lund, Sweden

[2] Seoul Natl Univ, Dept Math Sci, Seoul 151747, South Korea

来源：

BULLETIN DES SCIENCES MATHEMATIQUES | 2013年 / 137卷 / 07期

基金：

新加坡国家研究基金会;

关键词：

D O I：

10.1016/j.bulsci.2013.09.003

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We solve a problem for a type of non-linear partial differential equation ("Ward's equation"). This is an equation arising naturally in the study of Coulomb gases and random normal matrix ensembles [4]. In this paper, we consider a problem for Ward's equation whose solutions are precisely the well-known Mittag-Leffler functions. Our solution to this problem generalizes certain results obtained in [4]. (C) 2013 Elsevier Masson SAS. All rights reserved.

引用

页码：968 / 975

页数：8