Pacific Journal of Mathematics, Volume 237, Number 2

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Taibleson operators, p-adic parabolic equations and ultrametric diffusion

J. J. Rodríguez-Vega & W. A. Zúñiga-Galindo

Vol. 237 (2008), No. 2, 327-347

Abstract

We give a multimensional version of the p-adic heat equation, and show that its fundamental solution is the transition density of a Markov process.

Keywords

parabolic equations, Markov processes, p-adic numbers, ultrametric diffusion

Mathematical Subject Classification

Primary: 35R60, 60J25

Secondary: 47S10, 35S99

Authors

J. J. Rodríguez-Vega
Departamento de Matemáticas Universidad Nacional de Colombia Ciudad Universitaria, Bogotá D.C. Colombia

W. A. Zúñiga-Galindo
Centro de Investigación y de Estudios Avanzados del I.P.N. Departamento de Matemáticas Av. Instituto Politécnico Nacional 2508 Col. San Pedro Zacatenco 07360 México D.F. México