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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
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
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
Linking options:
https://www.mathnet.ru/eng/tmf6631https://doi.org/10.4213/tmf6631 https://www.mathnet.ru/eng/tmf/v167/i2/p163
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Abstract page: | 880 | Full-text PDF : | 286 | References: | 86 | First page: | 33 |
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