Abstract
We study discrete fragmentation coagulation equations in spaces X p , p > 1 , consisting of distributions having the p th moments finite. We show that for sufficiently regular fragmentation laws the fragmentation semigroup is analytic in X p , and fully characterize the domain of its generator. This allows for explicit characterization of the domains of the fractional powers of the generator through real interpolation. Finally, we use the linear results to show the existence of global classical solutions to fragmentation coagulation equations for a class of unbounded coagulation kernels.
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