# On the well-posedness of a class of McKean Feynman-Kac equations

@article{Lieber2019OnTW, title={On the well-posedness of a class of McKean Feynman-Kac equations}, author={Jonas Lieber and Nadia Oudjane and Francesco G. Russo}, journal={arXiv: Probability}, year={2019} }

We analyze the well-posedness of a so called McKean Feynman-Kac Equation (MFKE), which is a McKean type equation with a Feynman-Kac perturbation. We provide in particular weak and strong existence conditions as well as pathwise uniqueness conditions without strong regularity assumptions on the coefficients. One major tool to establish this result is a representation theorem relating the solutions of MFKE to the solutions of a nonconservative semilinear parabolic Partial Differential Equation…

## 4 Citations

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This paper presents a partial state of the art about the topic of representation of generalized FokkerPlanck Partial Differential Equations (PDEs) by solutions of McKean Feynman-Kac Equations (MFKEs)…

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