Non-local Operators, Non-Archimedean Parabolic-type Equations with Variable Coefficients and Markov Processes

2014/05/13 by L. F. Chacón-Cortés, L. F. Chacón-Cortes, Chacón-Cortes, L. F. +3
Mathematics · #60J25 #Analysis of PDEs (math.AP) #FOS: Mathematics #Primary 35K90 #Secondary 26E30 #advanced mathematical theories #math.AP #msc:26E30 #msc:35K90 #msc:60J25

paper · pdf · doi:10.48550/arxiv.1405.3016

arxiv created 2014/05/13 · openalex publication_date 2014/05/13 · arxiv updated 2014/05/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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