Linear and nonlinear heat equations on a \(p\)-adic ball

DOI10.1007/s11253-018-1496-xzbMath1439.35537arXiv1708.03261OpenAlexW2963004545WikidataQ129164501 ScholiaQ129164501MaRDI QIDQ2274509

Anatoly N. Kochubei

Publication date: 20 September 2019

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1708.03261

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Heat equation (35K05) Fractional partial differential equations (35R11)

Related Items (5)

The Vladimirov-Taibleson operator: inequalities, Dirichlet problem, boundary Hölder regularity ⋮ On the p-adic Navier–Stokes equation ⋮ Non-Archimedean radial calculus: Volterra operator and Laplace transform ⋮ \(p\)-adic Markov process and the problem of first return over balls ⋮ Hörmander classes of pseudo-differential operators over the compact group of \(p\)-adic integers

Cites Work

• Application of \(p\)-adic wavelets to model reaction-diffusion dynamics in random porous media
• Pseudodifferential equations over non-Archimedean spaces
• Fractional nonlinear degenerate diffusion equations on bounded domains. I: Existence, uniqueness and upper bounds.
• Functional analysis, Sobolev spaces and partial differential equations
• Regularizing effects for \(u_ t\) + A phi(u) = 0 in \(L^ 1\).
• \(p\)-adic analogue of the porous medium equation
• Semi-linear second-order elliptic equations in \(L^1\)
• Distributions sur un groupe localement compact et applications à l'étude des représentations des groupes $p$-adiques
• Nonlinear Differential Equations of Monotone Types in Banach Spaces
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