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Teoreticheskaya i Matematicheskaya Fizika, 2011, Volume 167, Number 2, Pages 163–170
DOI: https://doi.org/10.4213/tmf6631
(Mi tmf6631)
 

This article is cited in 21 scientific papers (total in 21 papers)

Solutions of $p$-adic string equations

V. S. Vladimirov

Steklov Mathematical Institute, Russian Academy of Sciences, Moscow, Russia
References:
Abstract: We review several purely mathematical results concerning boundary value problems for nonlinear pseudodifferential equations for $p$-adic closed and open strings in the tree approximation in the case $d=1$. For the solutions of these problems, we present formulas establishing the relations between the numbers of their zeros, the multiplicities of the zeros, and the numbers indicating how many times the solutions change sign.
Keywords: $p$-adic string.
Received: 13.10.2010
English version:
Theoretical and Mathematical Physics, 2011, Volume 167, Issue 2, Pages 539–546
DOI: https://doi.org/10.1007/s11232-011-0040-z
Bibliographic databases:
Document Type: Article
UDC: 2
Language: Russian
Citation: V. S. Vladimirov, “Solutions of $p$-adic string equations”, TMF, 167:2 (2011), 163–170; Theoret. and Math. Phys., 167:2 (2011), 539–546
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/tmf6631
  • https://doi.org/10.4213/tmf6631
  • https://www.mathnet.ru/eng/tmf/v167/i2/p163
  • This publication is cited in the following 21 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Теоретическая и математическая физика Theoretical and Mathematical Physics
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    References:86
    First page:33
     
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