P-adic Elliptic Quadratic Forms, Parabolic-Type Pseudodifferential Equations With Variable Coefficients, and Markov Processes
Analysis of PDEs
2013-12-10 v1 Mathematical Physics
math.MP
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.
Cite
@article{arxiv.1312.2476,
title = {P-adic Elliptic Quadratic Forms, Parabolic-Type Pseudodifferential Equations With Variable Coefficients, and Markov Processes},
author = {O. F. Casas-Sánchez and W. A. Zúñiga-Galindo},
journal= {arXiv preprint arXiv:1312.2476},
year = {2013}
}
Comments
To appear in P-adic Numbers, Ultrametric Analysis and Applications