Nonlinear pseudo-differential equations for radial real functions on a non-Archimedean field

DOI10.1016/j.jmaa.2019.123609zbMath1427.35384arXiv1907.11545OpenAlexW2981893630MaRDI QIDQ2009327

Anatoly N. Kochubei

Publication date: 28 November 2019

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

Full work available at URL: https://arxiv.org/abs/1907.11545

zbMATH Keywords

Cauchy problemradial functionnon-Archimedean local fieldfractional differentiation operator

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) Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80) Operator theory over fields other than (mathbb{R}), (mathbb{C}) or the quaternions; non-Archimedean operator theory (47S10) Non-Archimedean function theory (30G06) Non-Archimedean valued fields (12J25) Non-Archimedean analysis (32P05)

Related Items (3)

\(L^p\) properties of non-Archimedean fractional differentiation operators ⋮ Pseudo-differential equations with weak degeneration for radial functions of \(p\)-adic argument ⋮ Non-Archimedean radial calculus: Volterra operator and Laplace transform

Cites Work

• Pseudodifferential equations over non-Archimedean spaces
• Radial solutions of non-Archimedean pseudodifferential equations
• Ultrametric Pseudodifferential Equations and Applications
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Nonlinear pseudo-differential equations for radial real functions on a non-Archimedean field