On lower bounds of the solutions of some simple reaction-diffusion equations

Physics – Mathematical Physics

Scientific paper

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Latex2e, 9 pages

Scientific paper

The mean-field reaction-diffusion equations of the diffusive
pair-annihilation and triplett-annihilation processes are considered. A direct
lower bound on the time-dependent mean particle-density is derived. The results
are applied to the mean-field theory of the diffusive pair-contact process.

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