Author

Ming-Bo Zhang

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Preprint Sep 2026

Generic Strong Well-Posedness for McKean--Vlasov SDEs with Jumps in a Krylov-Stable Coefficient Space

We prove that strong well-posedness is generic for McKean--Vlasov stochastic differential equations with jumps in a complete coefficient space that allows genuinely discontinuous state dependence. For every $T>0$, there exists a dense residual subset $\mathfrak R_T$, independent of the initial state, such that every co...

Ming-Bo Zhang · 0 citations

Preprint Aug 2026

Regularity Preservation for Jump-Type Stochastic Transport Equations with Singular Drift

We study a first-order stochastic transport equation driven by Brownian transport noise and a nonlinear state-dependent Poisson jump term. The drift vector field is merely integrable and satisfies the subcritical Krylov--R\"ockner condition. The dependence of the jump coefficient on the solution creates a nontrivial co...

Ming-Bo Zhang · 0 citations