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Existence of solutions to path-dependent kinetic equations and related forward-backward systems
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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 ISSN 2325-7105.
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Official URL: http://dx.doi.org/10.4236/ojop.2013.22006
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 | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Divisions: | Faculty of Science, Engineering and Medicine > 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: |
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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 (Creative Commons) | ||||
Date of first compliant deposit: | 1 August 2016 | ||||
Date of first compliant Open Access: | 1 August 2016 | ||||
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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