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Revista Colombiana de Matemáticas
Print version ISSN 0034-7426
Rev.colomb.mat. vol.43 no.2 Bogotá July/Dec. 2009
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.
2000 Mathematics Subject Classification: 35S99, 47S10, 35R60, 60J25.
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.
Texto completo disponible en PDF
References
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Este artículo se puede citar en LaTeX utilizando la siguiente referencia bibliográfica de BibTeX:
@ARTICLE{RCMv43n2a02,
AUTHOR = {Rodríguez-Vega, John Jaime},
TITLE = {{On a general type of \boldsymbol{p}-adic parabolic equations}},
JOURNAL = {Revista Colombiana de Matemáticas},
YEAR = {2009},
volume = {43},
number = {2},
pages = {101-114}
}