Existence Theorems for Infinite Particle Systems
Open Access
- 1 March 1972
- journal article
- Published by JSTOR in Transactions of the American Mathematical Society
- Vol. 165, 471-481
- https://doi.org/10.2307/1995898
Abstract
Sufficient conditions are given for a countable sum of bounded generators of semigroups of contractions on a Banach space to be a generator. This result is then applied to obtain existence theorems for two classes of models of infinite particle systems. The first is a model of a dynamic lattice gas, while the second describes a lattice spin system.Keywords
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