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Uniqueness for nonlinear Fokker–Planck equations and weak uniqueness for McKean–Vlasov SDEs

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A Correction to this article was published on 17 November 2021

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Abstract

One proves the uniqueness of distributional solutions to nonlinear Fokker–Planck equations with monotone diffusion term and derive as a consequence (restricted) uniqueness in law for the corresponding McKean–Vlasov stochastic differential equation (SDE).

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Acknowledgements

This work was supported by the DFG through CRC 1283.

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Correspondence to Viorel Barbu.

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Barbu, V., Röckner, M. Uniqueness for nonlinear Fokker–Planck equations and weak uniqueness for McKean–Vlasov SDEs. Stoch PDE: Anal Comp 9, 702–713 (2021). https://doi.org/10.1007/s40072-020-00181-8

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  • DOI: https://doi.org/10.1007/s40072-020-00181-8

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