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Maximum Principles for Infinite Dimensional Diffusion Equations
Authors:Roberto Stasi
Institution:(1) Scuola Normale Superiore, Piazza dei Cavalieri, 7, 56126 Pisa, Italy
Abstract:In this paper we prove the validity of the Maximum Principle for some class of elliptic and parabolic equations of diffusion type in infinite dimension. The main tools are Asplund’s theorem and Preiss’ theorem on differentiability of Lipschitz functions in Banach space.
Keywords:uniqueness  Maximum Principle  Kolmogorov equations  infinite dimensions
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