Well-posedness and propagation of chaos for McKean-Vlasov stochastic variational inequalities
arxiv(2024)
摘要
In this paper, we study a broad class of McKean-Vlasov stochastic variational
inequalities (MVSVIs), where both the drift coefficient b and the diffusion
coefficient σ depend on time t, the state X_t and its distribution
μ_t. We establish the strong well-posedness, when b is superlinear growth
and locally Lipschitz continuous, and σ is locally Hölder continuous,
both with respect to X_t and μ_t. Additionally, we present the first
propagation of chaos result for MVSVIs.
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