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Propagation of Chaos for Weakly Interacting Mild Solutions to Stochastic Partial Differential Equations.

Propagation of Chaos for Weakly Interacting Mild Solutions to Stochastic Partial Differential Equations.

Authors :
Criens, David
Source :
Journal of Statistical Physics. Jun2023, Vol. 190 Issue 6, p1-40. 40p.
Publication Year :
2023

Abstract

This article investigates the propagation of chaos property for weakly interacting mild solutions to semilinear stochastic partial differential equations whose coefficients might not satisfy Lipschitz conditions. Furthermore, we establish existence and uniqueness results for mild solutions to SPDEs with distribution dependent coefficients, so-called McKean–Vlasov SPDEs. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00224715
Volume :
190
Issue :
6
Database :
Academic Search Index
Journal :
Journal of Statistical Physics
Publication Type :
Academic Journal
Accession number :
164425839
Full Text :
https://doi.org/10.1007/s10955-023-03121-7