Nonlinear McKean Markov processes are not uniquely determined by their one-dimensional time marginals, demonstrated via multiple constructions for Barenblatt solutions of the porous medium and p-Laplace equations and the heat equation fundamental solution.
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Non-uniqueness of nonlinear Markov processes in the sense of McKean associated with parabolic PDEs
Nonlinear McKean Markov processes are not uniquely determined by their one-dimensional time marginals, demonstrated via multiple constructions for Barenblatt solutions of the porous medium and p-Laplace equations and the heat equation fundamental solution.