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Mean field stochastic differential equations with a discontinuous diffusion coefficient
Jani Nykänen · 2022-06-23 · via math.PR updates on arXiv.org

We study $\mathbb{R}^d$-valued mean field stochastic differential equations with a diffusion coefficient depending on the $L_p$-norm of the process in a discontinuous way. We show that under a strong drift there exists a unique global strong solution and consider typical cases where the existence of a global solution fails.

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