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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)
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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 $\varphi^n(x)$ model of a scalar bosonic field and for the $\varphi^n(x(\sigma))$ 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
Russian version:
Matematicheskii Sbornik, 1992, Volume 183, Number 1, Pages 20–44
Bibliographic databases:
MSC: Primary 34G10, 34A12, 81J10; Secondary 34G20
Language: English
Original paper language: Russian
Citation: A. Yu. Khrennikov, “The infinite-dimensional Liouville equation”, Mat. Sb., 183:1 (1992), 20–44; Russian Acad. Sci. Sb. Math., 75:1 (1993), 17–41
Citation in format AMSBIB
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\paper The infinite-dimensional Liouville equation
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\pages 20--44
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\transl
\jour Russian Acad. Sci. Sb. Math.
\yr 1993
\vol 75
\issue 1
\pages 17--41
\crossref{https://doi.org/10.1070/SM1993v075n01ABEH003370}
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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:
    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:512
    Russian version PDF:170
    English version PDF:6
    References:77
    First page:1
     
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