Abstract

AbstractIn this article an existence theorem is proved for the coagulation–fragmentation equation with unbounded kernel rates. Solutions are shown to be in the space X+ = {c∈L1: ∫ (1 + x)∣c(x)∣dx < ∞} whenever the kernels satisfy certain growth properties and the non‐negative initial data belong to X+. The proof is based on weak L1 compactness methods applied to suitably chosen approximating equations.

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