On a problem for Ward's equation with a Mittag-Leffler potential
(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.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/4212285
- author
- Ameur, Yacin LU and Kang, Nam-Gyu
- organization
- publishing date
- 2013
- 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}}, }