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Teoreticheskaya i Matematicheskaya Fizika, 1981, Volume 46, Number 3, Pages 414–425 (Mi tmf2354)  
Investigation of generalized Liouville equation

G. A. Rudykh
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Abstract: The properties of a generalized Liouville operator and the propagator corresponding to it are studied in an appropriately chosen function space. The Hille–Yosida theorem is used to prove that the generalized Liouville operator is an infinitesimal generating operator of a strongly continuous, unique semigroup. The conditions under which this semigroup is contractive are considered.
Received: 15.11.1979
English version:
Theoretical and Mathematical Physics, 1981, Volume 46, Issue 3, Pages 270–277
DOI: https://doi.org/10.1007/BF01032738
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Language: Russian
Citation: G. A. Rudykh, “Investigation of generalized Liouville equation”, TMF, 46:3 (1981), 414–425; Theoret. and Math. Phys., 46:3 (1981), 270–277
Citation in format AMSBIB
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\by G.~A.~Rudykh
\paper Investigation of generalized Liouville equation
\jour TMF
\yr 1981
\vol 46
\issue 3
\pages 414--425
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=622520}
\zmath{https://zbmath.org/?q=an:0456.35087|0467.35082}
\transl
\jour Theoret. and Math. Phys.
\yr 1981
\vol 46
\issue 3
\pages 270--277
\crossref{https://doi.org/10.1007/BF01032738}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1981MN84000015}
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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