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

Ameur, Yacin LU and Kang, Nam-Gyu (2013) In Bulletin des Sciences Mathématiques 137(7). p.968-975
Abstract
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.
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author
and
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Bulletin des Sciences Mathématiques
volume
137
issue
7
pages
968 - 975
publisher
Gauthier-Villars
external identifiers
  • wos:000326555200007
  • scopus:84885372227
ISSN
0007-4497
DOI
10.1016/j.bulsci.2013.09.003
language
English
LU publication?
yes
id
d4d0a7cf-40ca-4001-b6ba-fea589032319 (old id 4212285)
date added to LUP
2016-04-01 14:23:15
date last changed
2022-01-28 00:18:46
@article{d4d0a7cf-40ca-4001-b6ba-fea589032319,
  abstract     = {{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.}},
  author       = {{Ameur, Yacin and Kang, Nam-Gyu}},
  issn         = {{0007-4497}},
  language     = {{eng}},
  number       = {{7}},
  pages        = {{968--975}},
  publisher    = {{Gauthier-Villars}},
  series       = {{Bulletin des Sciences Mathématiques}},
  title        = {{On a problem for Ward's equation with a Mittag-Leffler potential}},
  url          = {{http://dx.doi.org/10.1016/j.bulsci.2013.09.003}},
  doi          = {{10.1016/j.bulsci.2013.09.003}},
  volume       = {{137}},
  year         = {{2013}},
}