On solution properties of some types of \(p\)-adic kinetic equations of the form reaction-diffusion

DOI10.1134/S2070046610030027zbMath1268.35076MaRDI QIDQ1760230

Albert Kh. Bikulov

Publication date: 13 November 2012

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

zbMATH Keywords

functional analysisintegral transformations\(p\)-adic mathematical physics

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Functional analysis over fields other than (mathbb{R}) or (mathbb{C}) or the quaternions; non-Archimedean functional analysis (46S10)

Related Items (6)

Non-Archimedean reaction-ultradiffusion equations and complex hierarchic systems ⋮ Oscillations in \(p\)-adic diffusion processes and simulation of the conformational dynamics of protein ⋮ Some classes of non-Archimedean pseudo-differential operators related to Bessel potentials ⋮ Ultrametric random walk and dynamics of protein molecules ⋮ Non-Archimedean pseudo-differential operators on Sobolev spaces related to negative definite functions ⋮ Non-Archimedean pseudodifferential operators and Feller semigroups

Cites Work

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• An evolutionary interpretation of the \(p\)-adic ultrametric diffusion equation
• First passage time distribution and the number of returns for ultrametric random walks
• p-adic description of characteristic relaxation in complex systems

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