Regularized semigroups and systems of linear partial differential equations
M. Hieber, A. Holderrieth, F. Neubrander (1992)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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M. Hieber, A. Holderrieth, F. Neubrander (1992)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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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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Ioan I. Vrabie (2001)
RACSAM
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Mihail Megan, Alin Pogan (2000)
Annales mathématiques Blaise Pascal
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Banasiak, J. (2000)
Abstract and Applied 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.
Kravarušić, Ratko, Mijatović, Milorad, Pilipović, Stevan (1998)
Novi Sad Journal of Mathematics
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