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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.
- 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