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Regularity and approximability of the solutions to the chemical master equation

Ludwig GaucklerHarry Yserentant — 2014

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

The chemical master equation is a fundamental equation in chemical kinetics. It underlies the classical reaction-rate equations and takes stochastic effects into account. In this paper we give a simple argument showing that the solutions of a large class of chemical master equations are bounded in weighted -spaces and possess high-order moments. This class includes all equations in which no reactions between two or more already present molecules and further external reactants occur...

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