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\(p\)-adic analogue of the wave equation (Q2326869)

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Language	Label	Description	Also known as
English	\(p\)-adic analogue of the wave equation	scientific article

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scholarly article

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\(p\)-adic analogue of the wave equation (English)

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Andrei Yu. Khrennikov

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The Journal of Fourier Analysis and Applications

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publication date

10 October 2019

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zbMATH Keywords

Cauchy problem

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\(p\)-adic elliptic equation

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regularized solution

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1007/s00041-019-09668-y

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Harmonic analysis in the \(p\)-adic Lizorkin spaces: Fractional operators, pseudo-differential equations, \(p\)-adic wavelets, Tauberian theorems

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The Cauchy problems for evolutionary pseudo-differential equations over \(p\)-adic field and the wavelet theory

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Walsh-fourier series and the concept of a derivative<sup>†</sup>

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The Cauchy problem for a class of pseudodifferential equations over \(p\)-adic field

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ADELIC HARMONIC OSCILLATOR

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Regularity bounds for a Gevrey criterion in a kernel-based regularization of the Cauchy problem of elliptic equations

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The Cauchy problem of coupled elliptic sine-Gordon equations with noise: analysis of a general kernel-based regularization and reliable tools of computing

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\(p\)-adic analogue of the porous medium equation

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Non-Haar \(p\)-adic wavelets and their application to pseudo-differential operators and equations

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Adelic multiresolution analysis, construction of wavelet bases and pseudo-differential operators

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Application of \(p\)-adic wavelets to model reaction-diffusion dynamics in random porous media

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Ultrametric Pseudodifferential Equations and Applications

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A non-Archimedean wave equation

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Wavelet theory as $ p$-adic spectral analysis

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\(p\)-adic pseudodifferential operators and \(p\)-adic wavelets

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Wavelets and spectral analysis of ultrametric pseudodifferential operators

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Two regularization methods for a Cauchy problem for the Laplace equation

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Pseudo-differential operators over &lt;italic&gt;p&lt;/italic&gt;-adic fields

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A note on differential operators on finite non-abelian groups

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Pseudo-differential operators and derivatives on locally compact Vilenkin groups

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Fourier Analysis on Local Fields. (MN-15)

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Parabolic type equations and Markov stochastic processes on adeles

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A note on a Cauchy problem for the Laplace equation: Regularization and error estimates

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Generalized functions over the field of<i>p</i>-adic numbers

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p-adic space-time and string theory

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Fundamental solutions of pseudo-differential operators over \(p\)-adic fields

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Parabolic equations and Markov processes over \(p\)-adic fields

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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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10.1007/S00041-019-09668-Y

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Sitelinks

Mathematics(1 entry)

mardi Publication:2326869

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