2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/145947We give a multimensional version of the p-adic heat equation, and show that its fundamental solution is the transition density of a Markov process.A paragraph was added to introduction. Several typos were correctedMathematical Physics35R60; 60J25Taibleson Operators, p-adic Parabolic Equations and Ultrametric Diffusiontext