On some generalizations of non-Archimedean pseudo-differential operators and their applications

DOI10.1016/j.jmaa.2022.126168OpenAlexW4220839952MaRDI QIDQ2122192

Anselmo Torresblanca-Badillo

Publication date: 6 April 2022

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2022.126168

zbMATH Keywords

Markov processesheat kernelFeller semigroupspseudo-differential operators\(p\)-adic analysistransition functions

Mathematics Subject Classification ID

Functional analysis over fields other than (mathbb{R}) or (mathbb{C}) or the quaternions; non-Archimedean functional analysis (46S10) Transition functions, generators and resolvents (60J35) Pseudodifferential operators (47G30) Integro-partial differential equations (35R09)

Related Items (3)

Some further classes of pseudo-differential operators in the \(p\)-adic context and their applications ⋮ The Vladimirov-Taibleson operator: inequalities, Dirichlet problem, boundary Hölder regularity ⋮ New classes of parabolic pseudo-differential equations, Feller semigroups, contraction semigroups and stochastic process on the \(p\)-adic numbers

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Pseudodifferential equations over non-Archimedean spaces
• Superanalysis, I. Differential calculus
• On \(p\)-adic mathematical physics
• Conservativeness of semigroups generated by pseudo differential operators
• A symbolic calculus for pseudo differential operators generating Feller semigroups
• A class of Feller semigroups generated by pseudodifferential operators
• The martingale problem for a class of pseudo differential operators
• On Feller processes with sample paths in Besov spaces
• Characteristic functions and symbols in the theory of Feller processes
• Applications of \(p\)-adics to geophysics: linear and quasilinear diffusion of water-in-oil and oil-in-water emulsions
• Ultrametric diffusion, exponential landscapes, and the first passage time problem
• Number theory as the ultimate physical theory
• Non-Archimedean generalized Bessel potentials and their applications
• Non-Archimedean pseudo-differential operators on Sobolev spaces related to negative definite functions
• Probability density functions and the dynamics of complex systems associated to some classes of non-Archimedean pseudo-differential operators
• Strong Markov processes and negative definite functions associated with non-Archimedean elliptic pseudo-differential operators
• Semi-linear Cauchy problem and Markov process associated with a \(p\)-adic non-local ultradiffusion operator
• Some classes of non-Archimedean pseudo-differential operators related to Bessel potentials
• Non-Archimedean analysis and a wave-type pseudodifferential equation on finite adèles
• Finite time blow-up for a \(p\)-adic nonlocal semilinear ultradiffusion equation
• Non-Archimedean pseudodifferential operators and Feller semigroups
• Lévy matters III. Lévy-type processes: construction, approximation and sample path properties
• \(p\)-adic pseudodifferential operators and \(p\)-adic wavelets
• First passage time distribution and the number of returns for ultrametric random walks
• Feller semigroups, Dirichlet forms, and pseudo differential operators
• Convolution Semigroups of Local Type.
• Fourier Analysis on Local Fields. (MN-15)
• p-adic models of ultrametric diffusion constrained by hierarchical energy landscapes
• p-adic description of characteristic relaxation in complex systems
• Ultrametric Pseudodifferential Equations and Applications
• Non-Archimedean Coulomb gases
• Boundary value problems and Markov processes
• Dirichlet operators and the positive maximum principle

This page was built for publication: On some generalizations of non-Archimedean pseudo-differential operators and their applications