Lie generators for semigroups of transformations on a Polish space.
Dorroh, J.R., Neuberger, J.W. (1993)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Dorroh, J.R., Neuberger, J.W. (1993)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Milorad Mijatović, Stevan Pilipović (1997)
Matematički Vesnik
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Nickel, Gregor (1997)
Abstract and Applied Analysis
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Chung-Cheng Kuo, Sen-Yen Shaw (2000)
Studia Mathematica
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This paper is concerned with α-times integrated C-semigroups for α > 0 and the associated abstract Cauchy problem: , t >0; u(0) = 0. We first investigate basic properties of an α-times integrated C-semigroup which may not be exponentially bounded. We then characterize the generator A of an exponentially bounded α-times integrated C-semigroup, either in terms of its Laplace transforms or in terms of existence of a unique solution of the above abstract Cauchy problem for every x...
Janfada, Mohammad (2009)
Abstract and Applied Analysis
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Carlos B. Navarro (1978)
Stochastica
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D. Monk, F. Sioson (1966)
Fundamenta Mathematicae
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S. Oharu (1991)
Semigroup forum
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Shen Wang (1995)
Studia Mathematica
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We study mild n times integrated C-existence families without the assumption of exponential boundedness. We present several equivalent conditions for these families. Hille-Yosida type necessary and sufficient conditions are given for the exponentially bounded case.
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.