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Ultrametric Pseudodifferential Equations and Applications
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  • Cited by 3
  • Cited by
    This book has been cited by the following publications. This list is generated based on data provided by CrossRef.

    Khrennikov, Andrei Yu. and Kochubei, Anatoly N. 2018. On the p-adic Navier–Stokes equation. Applicable Analysis, p. 1.

    Anashin, V. S. Dragovich, B. Kochubei, A. N. Kozyrev, S. V. and Volovich, I. V. 2018. Andrei Yurievich Khrennikov and his Research. p-Adic Numbers, Ultrametric Analysis and Applications, Vol. 10, Issue. 4, p. 344.

    Pourhadi, Ehsan and Khrennikov, A. Yu. 2018. On the Solutions of Cauchy Problem for Two Classes of Semi-Linear Pseudo-Differential Equations over p-Adic Field. p-Adic Numbers, Ultrametric Analysis and Applications, Vol. 10, Issue. 4, p. 322.


Book description

Starting from physical motivations and leading to practical applications, this book provides an interdisciplinary perspective on the cutting edge of ultrametric pseudodifferential equations. It shows the ways in which these equations link different fields including mathematics, engineering, and geophysics. In particular, the authors provide a detailed explanation of the geophysical applications of p-adic diffusion equations, useful when modeling the flows of liquids through porous rock. p-adic wavelets theory and p-adic pseudodifferential equations are also presented, along with their connections to mathematical physics, representation theory, the physics of disordered systems, probability, number theory, and p-adic dynamical systems. Material that was previously spread across many articles in journals of many different fields is brought together here, including recent work on the van der Put series technique. This book provides an excellent snapshot of the fascinating field of ultrametric pseudodifferential equations, including their emerging applications and currently unsolved problems.


'The book demonstrates a wealth of interesting recently emerging subjects within a relatively small volume. It will be useful both for specialists and students studying non-Archimedean analysis and its applications.'

Anatoly N. Kochubei Source: Mathematical Reviews

'[As a whole] … the book offers … extremely rich material, providing a complete view on the recent [research] in p-adic analysis.'

Luigi Rodino Source: zbMATH

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