McKean-Vlasov stochastic differential equations with super-linear measure arguments: well-posedness and propagation of chaos
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
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2026
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| _version_ | 1866908817953914880 |
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| author | Liu, Zhuoqi Guo, Qian Gao, Shuaibin Yuan, Chenggui |
| author_facet | Liu, Zhuoqi Guo, Qian Gao, Shuaibin Yuan, Chenggui |
| contents | This paper studies McKean-Vlasov stochastic differential equations (MVSDEs) whose drift coefficients grow super-linearly in both state variables and measure arguments, and whose diffusion coefficients exhibit super-linear growth in the state variables. By constructing an Euler-like sequence, we establish the strong well-posedness of such MVSDEs under a locally monotone condition. Furthermore, the propagation of chaos is studied on both finite and infinite horizons, demonstrating convergence of the interacting particle system to the corresponding non-interacting system. To illustrate the rationality of the theoretical results, we provide examples whose drifts contain the high powers and multiple integrals of distributions, with numerical simulations presented in Section 6. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_06701 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | McKean-Vlasov stochastic differential equations with super-linear measure arguments: well-posedness and propagation of chaos Liu, Zhuoqi Guo, Qian Gao, Shuaibin Yuan, Chenggui Probability Numerical Analysis This paper studies McKean-Vlasov stochastic differential equations (MVSDEs) whose drift coefficients grow super-linearly in both state variables and measure arguments, and whose diffusion coefficients exhibit super-linear growth in the state variables. By constructing an Euler-like sequence, we establish the strong well-posedness of such MVSDEs under a locally monotone condition. Furthermore, the propagation of chaos is studied on both finite and infinite horizons, demonstrating convergence of the interacting particle system to the corresponding non-interacting system. To illustrate the rationality of the theoretical results, we provide examples whose drifts contain the high powers and multiple integrals of distributions, with numerical simulations presented in Section 6. |
| title | McKean-Vlasov stochastic differential equations with super-linear measure arguments: well-posedness and propagation of chaos |
| topic | Probability Numerical Analysis |
| url | https://arxiv.org/abs/2602.06701 |