Non-Archimedean pseudodifferential operators and Feller semigroups

DOI10.1134/S2070046618010041zbMath1461.35259arXiv1708.02308OpenAlexW2781822999MaRDI QIDQ2317192

Anselmo Torresblanca-Badillo, Wilson A. Zuniga-Galindo

Publication date: 8 August 2019

Published in: \(p\)-Adic Numbers, Ultrametric Analysis, and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1708.02308

zbMATH Keywords

Sobolev spacesMarkov processespositive definite functionsFeller semigroupsnon-Archimedean analysis

Mathematics Subject Classification ID

Groups and semigroups of linear operators (47D03) Initial value problems for PDEs with pseudodifferential operators (35S10) Feller processes (60G53)

Related Items (15)

On some generalizations of non-Archimedean pseudo-differential operators and their applications ⋮ Ultrametric diffusion, rugged energy landscapes and transition networks ⋮ Strong Markov processes and negative definite functions associated with non-Archimedean elliptic pseudo-differential operators ⋮ 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 ⋮ Some classes of non-Archimedean pseudo-differential operators related to Bessel potentials ⋮ Reaction-diffusion equations on complex networks and Turing patterns, via \(p\)-adic analysis ⋮ \(p\)-adic cellular neural networks: applications to image processing ⋮ Finite time blow-up for a \(p\)-adic nonlocal semilinear ultradiffusion equation ⋮ 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 ⋮ Non-Archimedean Coulomb gases ⋮ Local well-posedness of the Cauchy problem for a \(p\)-adic Nagumo-type equation

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