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Diffusion semigroups in spaces of continous functions with mixed topology

Goldys, B; Kocan, M


We study transition semigroups and Kolmogorov equations corresponding to stochastic semilinear equations on a Hilbert space H. It is shown that the transition semigroup is strongly continuous and locally equicontinuous in the space of polynomially increasing continuous functions on H when endowed with the so-called mixed topology. As a result we characterize cores of certain second order differential operators in such spaces and show that they have unique extensions to generators of strongly...[Show more]

CollectionsANU Research Publications
Date published: 2001
Type: Journal article
Source: Journal of Differential Equations
DOI: 10.1006/jdeq.2000.3918


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