Weak infinitesimal generator for a stochastic partial differential equation with time delay.
Chang, Mou-Hsiung (1995)
Journal of Applied Mathematics and Stochastic Analysis
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Chang, Mou-Hsiung (1995)
Journal of Applied Mathematics and Stochastic Analysis
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Enrico Priola (1999)
Studia Mathematica
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We study a new class of Markov type semigroups (not strongly continuous in general) in the space of all real, uniformly continuous and bounded functions on a separable metric space E. Our results allow us to characterize the generators of Markov transition semigroups in infinite dimensions such as the heat and the Ornstein-Uhlenbeck semigroups.
Zhongmin Qian, Sheng-Wu He (1995)
Séminaire de probabilités de Strasbourg
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H. N. Bojadziev (1984)
Commentationes Mathematicae Universitatis Carolinae
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Sergei E. Kuznetsov (1992)
Séminaire de probabilités de Strasbourg
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A. Antonippillai, Francis J. Pastijn (1994)
Mathematica Slovaca
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Shiqi Song (1995)
Séminaire de probabilités de Strasbourg
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Ryszard Rudnicki (2000)
Applicationes Mathematicae
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This note contains a survey of recent results concerning asymptotic properties of Markov operators and semigroups. Some biological and physical applications are given.