Linear neutral partial differential equations: A semigroup approach.
Nagel, Rainer, Nguyen Thieu Huy (2003)
International Journal of Mathematics and Mathematical Sciences
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Nagel, Rainer, Nguyen Thieu Huy (2003)
International Journal of Mathematics and Mathematical Sciences
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Fragnelli, Genni (2003)
Abstract and Applied Analysis
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Diekmann, Odo
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Janfada, Mohammad (2009)
Abstract and Applied Analysis
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Beniamin Goldys (1999)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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Let be a transition semigroup of the Hilbert space-valued nonsymmetric Ornstein-Uhlenbeck process and let denote its Gaussian invariant measure. We show that the semigroup is analytic in if and only if its generator is variational. In particular, we show that the transition semigroup of a finite dimensional Ornstein-Uhlenbeck process is analytic if and only if the Wiener process is nondegenerate.
Milorad Mijatović, Stevan Pilipović (1997)
Matematički Vesnik
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Gogodze, Ioseb K., Gelashvili, Koba N. (1997)
Memoirs on Differential Equations and Mathematical Physics
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