This is the abstract of the paper
  "Coagulation-Fragmentation Processes"
by Herbert Amann.

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  get evolve-l 99-00084

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  "http://ma1serv.mathematik.uni-karlsruhe.de/evolve-l/index.html"
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Abstract: We study the well-posedness of coagulation-fragmentation models
with diffusion for large systems of particles. The continuous and the
discrete case are considered simultaneously. In the discrete situation we
are concerned with a countable system of coupled reaction-diffusion
equations, whereas the continuous case amounts to an uncountable system of
such equations. These problems can be handled by interpreting them as
abstract vector-valued parabolic evolution equations, where the dependent
variables take values in infinite-dimensional Banach spaces. Given
suitable assumptions, we prove existence and uniqueness in the class of
volume preserving solutions. We also derive sufficient conditions for
global existence.