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Russian Academy of Sciences. Sbornik. Mathematics, 1993, Volume 75, Issue 1, Pages 17–41
DOI: https://doi.org/10.1070/SM1993v075n01ABEH003370 (Mi sm1449) 		 
This article is cited in 1 scientific paper (total in 1 paper)

The infinite-dimensional Liouville equation

A. Yu. Khrennikov

Moscow State Institute of Electronic Technology (Technical University)
English version PDF (1062 kB) Citations (1) Russian version article
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DOI: https://doi.org/10.1070/SM1993v075n01ABEH003370
Abstract: A theorem on the existence of a solution of the Cauchy problem is proved for the infinite-dimensional Liouville equation for the φn(x) model of a scalar bosonic field and for the φn(x(σ)) model of a bosonic string field. The Liouville equation is regarded as an ordinary differential equation in a locally convex space of functions on an infinite-dimensional phase space.
Received: 17.01.1991
Bibliographic databases:
MSC: Primary 34G10, 34A12, 81J10; Secondary 34G20
Language: English
Original paper language: Russian
Citation: A. Yu. Khrennikov, “The infinite-dimensional Liouville equation”, Russian Acad. Sci. Sb. Math., 75:1 (1993), 17–41
Citation in format AMSBIB
\Bibitem{Khr92}
\by A.~Yu.~Khrennikov
\paper The infinite-dimensional Liouville equation
\jour Russian Acad. Sci. Sb. Math.
\yr 1993
\vol 75
\issue 1
\pages 17--41
\mathnet{http://mi.mathnet.ru/eng/sm1449}
\crossref{https://doi.org/10.1070/SM1993v075n01ABEH003370}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1166756}
\zmath{https://zbmath.org/?q=an:0774.34064|0753.34056}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?1993SbMat..75...17K}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1993LG75100002}
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  • https://doi.org/10.1070/SM1993v075n01ABEH003370
  • https://www.mathnet.ru/eng/sm/v183/i1/p20
    • This publication is cited in the following 1 articles:
    1. A. Yu. Khrennikov, “Symplectic geometry on an infinite-dimensional phase space and an asymptotic representation of quantum averages by Gaussian functional integrals”, Izv. Math., 72:1 (2008), 127–148  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник - 1992–2005 Sbornik: Mathematics
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    Abstract page:586
    Russian version PDF:190
    English version PDF:22
    References:97
    First page:1
     
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