  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 (PDE).
