Abstract

RODRIGUEZ-VEGA, JOHN JAIME. On a general type of p-adic parabolic equations. Rev.colomb.mat. [online]. 2009, vol.43, n.2, pp.101-114. ISSN 0034-7426.

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].

Keywords : Parabolic equations; Markov processes; p-adic numbers; ultrametric diffusion.

        · abstract in Spanish     · text in English     · English ( pdf )