Pseudo-differential equations with weak degeneration for radial functions of \(p\)-adic argument

DOI10.1016/j.jmaa.2023.127026OpenAlexW4221159533MaRDI QIDQ2694264

Anatoly N. Kochubei, Alexandra Vict. Antoniouk, Mariia V. Serdiuk

Publication date: 28 March 2023

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2203.06623

zbMATH Keywords

Cauchy problemradial functionsfractional differential operator\(p\)-adic analysis

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Functional analysis over fields other than (mathbb{R}) or (mathbb{C}) or the quaternions; non-Archimedean functional analysis (46S10) (p)-adic differential equations (12H25)

Cites Work

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• Radial solutions of non-Archimedean pseudodifferential equations
• Nonlinear pseudo-differential equations for radial real functions on a non-Archimedean field
• Non-Archimedean radial calculus: Volterra operator and Laplace transform
• Methods and applications of ultrametric and \(p\)-adic analysis: from wavelet theory to biophysics

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