Non-local Operators, Non-Archimedean Parabolic-type Equations with Variable Coefficients and Markov Processes
Analysis of PDEs
2014-05-14 v1
Abstract
In this article, we introduce a new class of parabolic-type pseudo differential equations with variable coefficients over the p-adics. We establish the existence and uniqueness of solutions for the Cauchy problem associated with these equations. The fundamental solutions of these equations are connected with Markov processes. Some of these equations are related to new models of complex systems.
Cite
@article{arxiv.1405.3016,
title = {Non-local Operators, Non-Archimedean Parabolic-type Equations with Variable Coefficients and Markov Processes},
author = {L. F. Chacón-Cortes and W. A. Zúñiga-Galindo},
journal= {arXiv preprint arXiv:1405.3016},
year = {2014}
}