Conditional Mckean–Vlasov Equations with Regime-Switching Over Convex Domains

In this paper, the reflected Mckean–Vlasov equations with regime-switching over a convex domain are studied for the first time. We first establish the well-posedness of stochastic differential equations with regime-switching by using fixed point Theorem. Then, by using coupling method, the propagation of chaos for the particle system is also obtained.

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Publication Details

Journal
Fluctuation and Noise Letters
Published
2025-11-28
DOI
https://doi.org/10.1142/s0219477526500203
Primary Topic
Mathematical Biology Tumor Growth
Type
article
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article

Conditional Mckean–Vlasov Equations with Regime-Switching Over Convex Domains

Guangying Lv, Wei Li
Fluctuation and Noise Letters
Mathematical Biology Tumor Growth
article

Conditional Mckean–Vlasov Equations with Regime-Switching Over Convex Domains

Guangying Lv, Wei Li
article en

Abstract

In this paper, the reflected Mckean–Vlasov equations with regime-switching over a convex domain are studied for the first time. We first establish the well-posedness of stochastic differential equations with regime-switching by using fixed point Theorem. Then, by using coupling method, the propagation of chaos for the particle system is also obtained.

Fluctuation and Noise Letters
Nanjing University of Information Science and Technology (CN)
Openalex Percentile: Top 59%
Mathematical Biology Tumor Growth
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Conditional Mckean–Vlasov Equations with Regime-Switching Over Convex Domains — Guangying Lv, Wei Li · Fluctuation and Noise Letters (2025) | TGRS Research Map | TGRS