Well-posedness of the martingale problem for some degenerate diffusion processes occurring in dynamics of populations
type: Item
instance of: scholarly article
title: Well-posedness of the martingale problem for some degenerate diffusion processes occurring in dynamics of populations
zbMATH Open document ID: 1064.60171
author: Sandra Cerrai
author: Philippe Clément
published in: Bulletin des Sciences Mathématiques
publication date: 2005-02-09T00:00:00Z
review text: The authors establish well-posedness of the martingale problem associated with a class of degenerate elliptic operators which generalize the Fleming-Viot operator. The corresponding class of diffusions may be used to approximate many discrete stochastic models in population genetics.
reviewed by: Alexander Mitrophanov
Mathematics Subject Classification ID: 60J60
Mathematics Subject Classification ID: 35J70
Mathematics Subject Classification ID: 60J70
zbMATH DE Number: 2132870
zbMATH Keywords: degenerate elliptic equations in nonregular domains
zbMATH Keywords: generation of semigroup
zbMATH Keywords: stochastic invariance
zbMATH Keywords: Fleming-Viot operator
zbMATH Keywords: martingale problem
MaRDI profile type: Publication
full work available at URL: j.bulsci.2004.03.004
OpenAlex ID: W2141075035
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DOI: 10.1016/J.BULSCI.2004.03.004
description: scientific article; zbMATH DE number 2132870