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Taibleson operators,
p-adic parabolic equations and
ultrametric diffusion
J. J. Rodríguez-Vega and W. A. Zúñiga-Galindo |
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Vol. 237 (2008), No. 2, 327–347
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Abstract |
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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
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Mathematical Subject Classification 2000
Primary: 35R60, 60J25
Secondary: 47S10, 35S99
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Milestones
Received: 20 November 2007
Revised: 25 January 2008
Accepted: 25 February 2008
Published: 1 October 2008
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Authors |
| J. J. Rodríguez-Vega | |
| Departamento de Matemáticas Universidad Nacional de Colombia Ciudad Universitaria, Bogotá D.C. Colombia |
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| 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 |
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