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Well‐posedness of diffusion–aggregation equations with bounded kernels and their mean‐field approximations.
- Source :
-
Mathematical Methods in the Applied Sciences . 7/30/2024, Vol. 47 Issue 11, p9222-9248. 27p. - Publication Year :
- 2024
-
Abstract
- The well‐posedness and regularity properties of diffusion–aggregation equations, emerging from interacting particle systems, are established on the whole space for bounded interaction force kernels by utilizing a compactness convergence argument to treat the nonlinearity as well as a Moser iteration. Moreover, we prove a quantitative estimate in probability with arbitrary algebraic rate between the approximative interacting particle systems and the approximative McKean–Vlasov SDEs, which implies propagation of chaos for the interacting particle systems. [ABSTRACT FROM AUTHOR]
- Subjects :
- *LAW of large numbers
*MEAN field theory
*EQUATIONS
Subjects
Details
- Language :
- English
- ISSN :
- 01704214
- Volume :
- 47
- Issue :
- 11
- Database :
- Academic Search Index
- Journal :
- Mathematical Methods in the Applied Sciences
- Publication Type :
- Academic Journal
- Accession number :
- 177773312
- Full Text :
- https://doi.org/10.1002/mma.10069