¹Universidad Nacional de Colombia, Bogotá, Colombia. Email: jjrodriguezv@unal.edu.co

In this paper we study the existence and uniqueness of the Cauchy problem for a general type of p-adic parabolic pseudo-differential operators constructed using the Taibleson operator. The results presented here constitute an extension of some results obtained by Zúñiga-Galindo and the author [13].

Key words: Parabolic equations, Markov processes, p-adic numbers, ultrametric diffusion.

En este artículo se estudia la existencia y unicidad de soluciones del problema de Cauchy asociado a un tipo general de ecuación parabólica p-ádica, construida usando el operador de Taibleson. Los resultados presentados aquí constituyen una extensión de algunos de los resultados obtenidos por Zúñiga-Galindo y el autor en [13].

Palabras clave: Ecuaciones parabólicas, procesos de Markov, números p-ádicos, difusión ultramétrica.

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References

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