Existence of global weak solutions to the discrete coagulation-fragmentation equations with diffusion is proved under general assumptions on the coagulation and fragmentation coefficients. Unlike previous works requiring $L^\infty$-estimates, an $L^1$-approach is developed here which relies on weak and strong compactness methods in $L^1$.
"Global existence for the discrete diffusive coagulation-fragmentation equations in $L^1$." Rev. Mat. Iberoamericana 18 (3) 731 - 745, October, 2002.