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On a general type of p–adic parabolic equations
Un tipo general de ecuaciones parabólicas p–ádicas
Keywords:
Parabolic equations, Markov processes, p–adic numbers, ultrametric diffusion (en)Ecuaciones parabólicas, procesos de Markov, números p–ádicos, difusión ultramétrica (es)
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Abstract. 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].
En este artículo se estudia la existencia y unicidad de soluciones del problema de Cauchy asociado a un tipo general de ecuación parabólica p–ádicos, 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].
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