Kolokolʹtsov, V. N. (Vasiliĭ Nikitich) and Yang, Wei (2013) Existence of solutions to path-dependent kinetic equations and related forward-backward systems. Open Journal of Optimization, Volume 2 (Number 2). pp. 39-44. doi:10.4236/ojop.2013.22006

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Abstract

This paper is devoted to path-dependent kinetics equations arising, in particular, from the analysis of the coupled backward-forward systems of equations of mean field games. We present local well-posedness, global existence and some regularity results for these equations.

Item Type:	Journal Article
Subjects:	Q Science > QA Mathematics
Divisions:	Faculty of Science > Statistics
Library of Congress Subject Headings (LCSH):	Mathematical models, Mathematical statistics, Linear models (Statistics), Statistics, Equations
Journal or Publication Title:	Open Journal of Optimization
Publisher:	Scientific Research Publishing Inc
ISSN:	2325-7105
Official Date:	18 June 2013
Dates:	Date Event 18 June 2013 Published
Volume:	Volume 2
Number:	Number 2
Page Range:	pp. 39-44
DOI:	10.4236/ojop.2013.22006
Status:	Peer Reviewed
Publication Status:	Published
Access rights to Published version:	Open Access
Funder:	Institute of Infomatics Problems of the Russian Academy of Sciences (IPI RAN) (Russia), Russia (Federation). Ministerstvo obrazovaniia i nauki [Ministry of Education and Science]
Grant number:	11-01-12026, 12-07-00115 (IPI RAN) ; 4402 (MES)

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