\(p\)-adic fractional pseudodifferential equations and Sobolev type spaces over \(p\)-adic fields

DOI10.1155/2013/635690zbMath1417.35238OpenAlexW2013035272WikidataQ58921701 ScholiaQ58921701MaRDI QIDQ2312247

Bo Wu

Publication date: 5 July 2019

Published in: Discrete Dynamics in Nature and Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2013/635690

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Dynamical systems over non-Archimedean local ground fields (37P20)

Cites Work

• Path integrals for a class of \(p\)-adic Schrödinger equations
• Function spaces on local fields
• A non-Archimedean wave equation
• Pseudo-differential operators and derivatives on locally compact Vilenkin groups
• A random walk on \(p\)-adics -- the generator and its spectrum
• The Cauchy problem for a class of pseudodifferential equations over \(p\)-adic field
• Harmonic analysis in the \(p\)-adic Lizorkin spaces: Fractional operators, pseudo-differential equations, \(p\)-adic wavelets, Tauberian theorems
• Fourier Analysis on Local Fields. (MN-15)
• Fundamental solutions of pseudodifferential equations connected with $ p$-adic quadratic forms
• p-adic models of ultrametric diffusion constrained by hierarchical energy landscapes
• p-adic description of characteristic relaxation in complex systems
• Pseudo-differential operators over <italic>p</italic>-adic fields
• One-dimensional Schrödinger operators with -symmetric zero-range potentials
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