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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2009, Volume 265, Pages 254–272 (Mi tm840)  
This article is cited in 6 scientific papers (total in 6 papers)

On Nonlinear Equations of $p$-adic Strings for Scalar Tachyon Fields

V. S. Vladimirov

Steklov Institute of Mathematics, Russian Academy of Sciences, Moscow, Russia
Full-text PDF (281 kB) Citations (6)
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Abstract: We consider boundary value problems for open and closed $p$-adic strings for scalar tachyon fields. Estimates for solutions to these problems and possible ways of constructing these solutions are obtained by reducing the problems to linear parabolic equations with nonlinear boundary conditions. We give an application of Gauss-type quadrature formulas to the numerical solution of the boundary value problems, and discuss the possibility of using these methods in multidimensional problems ($d=2$).
Received in May 2008
English version:
Proceedings of the Steklov Institute of Mathematics, 2009, Volume 265, Pages 242–261
DOI: https://doi.org/10.1134/S0081543809020230
Bibliographic databases:
Document Type: Article
UDC: 517.968.4+539.1.01
Language: Russian
Citation: V. S. Vladimirov, “On Nonlinear Equations of $p$-adic Strings for Scalar Tachyon Fields”, Selected topics of mathematical physics and $p$-adic analysis, Collected papers, Trudy Mat. Inst. Steklova, 265, MAIK Nauka/Interperiodica, Moscow, 2009, 254–272; Proc. Steklov Inst. Math., 265 (2009), 242–261
Citation in format AMSBIB
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\paper On Nonlinear Equations of $p$-adic Strings for Scalar Tachyon Fields
\inbook Selected topics of mathematical physics and $p$-adic analysis
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\vol 265
\pages 254--272
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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