Global existence for the discrete diffusive coagulation-fragmentation equations in $L^1$

Abstract

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 $L^1$.