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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2004, Volume 245, Pages 296–303 (Mi tm196)  
This article is cited in 3 scientific papers (total in 3 papers)

Some Properties of Dynamical Equations in $p$-Adic String and SFT Models

Ya. I. Volovich

M. V. Lomonosov Moscow State University, Faculty of Physics
Full-text PDF (211 kB) Citations (3)
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Abstract: We consider nonlinear pseudodifferential equations with an infinite number of derivatives. These equations form a new class of equations in mathematical physics, which first appeared in $p$-adic string theory. The investigation of these equations is of much interest for mathematical physics and its applications, in particular, in string field theory and cosmology. In this paper, we study the existence and the properties of spatially homogeneous solutions of these equations.
Received in October 2003
Bibliographic databases:
Document Type: Article
UDC: 517.94+512.625
Language: Russian
Citation: Ya. I. Volovich, “Some Properties of Dynamical Equations in $p$-Adic String and SFT Models”, Selected topics of $p$-adic mathematical physics and analysis, Collected papers. Dedicated to the 80th birthday of academician Vasilii Sergeevich Vladimirov, Trudy Mat. Inst. Steklova, 245, Nauka, MAIK «Nauka/Inteperiodika», M., 2004, 296–303; Proc. Steklov Inst. Math., 245 (2004), 281–288
Citation in format AMSBIB
\Bibitem{Vol04}
\by Ya.~I.~Volovich
\paper Some Properties of Dynamical Equations in $p$-Adic String and SFT Models
\inbook Selected topics of $p$-adic mathematical physics and analysis
\bookinfo Collected papers. Dedicated to the 80th birthday of academician Vasilii Sergeevich Vladimirov
\serial Trudy Mat. Inst. Steklova
\yr 2004
\vol 245
\pages 296--303
\publ Nauka, MAIK «Nauka/Inteperiodika»
\publaddr M.
\mathnet{http://mi.mathnet.ru/tm196}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2099892}
\zmath{https://zbmath.org/?q=an:1181.81097}
\transl
\jour Proc. Steklov Inst. Math.
\yr 2004
\vol 245
\pages 281--288
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  • https://www.mathnet.ru/eng/tm196
  • https://www.mathnet.ru/eng/tm/v245/p296
    • This publication is cited in the following 3 articles:
    1. A. S. Petrosyan, Ts. E. Terdzhyan, Kh. A. Khachatryan, “Edinstvennost resheniya odnoi sistemy integralnykh uravnenii na poluosi s vypukloi nelineinostyu”, Matem. tr., 23:2 (2020), 187–203  mathnet  crossref
    2. Kh. A. Khachatryan, “On the solubility of certain classes of non-linear integral equations in $p$-adic string theory”, Izv. Math., 82:2 (2018), 407–427  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    3. I. Ya. Aref'eva, “Rolling Tachyon on Non-BPS Branes and $p$-Adic Strings”, Proc. Steklov Inst. Math., 245 (2004), 40–47  mathnet  mathscinet  zmath
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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    References:83
     
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