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arXiv · 1407.8047

On uniqueness of solutions to nonlinear Fokker--Planck--Kolmogorov equations

Oxana A. Manita·Maxim S. Romanov·Stanislav V. Shaposhnikov
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Abstract

We study uniqueness of flows of probability measures solving the Cauchy problem for nonlinear Fokker-Planck-Kolmogorov equation with unbounded coefficients. Sufficient conditions for uniqueness are indicated and examples of non-uniqueness are constructed.

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Oxana A. Manita, Maxim S. Romanov, Stanislav V. Shaposhnikov. 2014-07-30. On uniqueness of solutions to nonlinear Fokker--Planck--Kolmogorov equations. https://arxiv.org/abs/1407.8047

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