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 -estimates, an -approach is developed here which relies on weak and strong compactness methods in .
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Philippe Laurençot, Stéphane Mischler, Global existence for the discrete diffusive coagulation-fragmentation equations in . Rev. Mat. Iberoam. 18 (2002), no. 3, pp. 731–745DOI 10.4171/RMI/334