$p$-Adic elliptic quadratic forms, parabolic-type pseudodifferential equations with variable coefficients and Markov processes

Abstract

In this article we study the Cauchy problem for a new class of parabolic-type pseudodifferential equations with variable coefficients for which the fundamental solutions are transition density functions of Markov processes in the four dimensional vector space over the field of p-adic numbers.

Oscar F. Casas

Associate Professor