On a problem for Ward's equation with a Mittag-Leffler potential
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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 . 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 . (C) 2013 Elsevier Masson SAS. All rights reserved.
|Research areas and keywords||
Subject classification (UKÄ) – MANDATORY
|Journal||Bulletin des Sciences Mathématiques|
|Publication status||Published - 2013|