We investigate generalized solutions of nonlinear diffusion equations in the sense of Colombeau and extend the results of Biagioni and Oberguggenberger  to more general equations. We prove the existence and uniqueness of a generalized solution which is shown to be consistent with the classical solution.
"Generalized solutions of nonlinear diffusion equations." Hiroshima Math. J. 32 (1) 125 - 143, March 2002. https://doi.org/10.32917/hmj/1151007645