Random Time Change and Related Evolution Equations: Time Asymptotic Behavior
Probability
2020-06-25 v2 Mathematical Physics
math.MP
Abstract
In this paper we investigate the long time behavior of solutions to fractional in time evolution equations which appear as results of random time changes in Markov processes. We consider inverse subordinators as random times and use the subordination principle for the solutions to forward Kolmogorov equations. The class of subordinators for which asymptotic analysis may be realized is described.
Cite
@article{arxiv.1901.10015,
title = {Random Time Change and Related Evolution Equations: Time Asymptotic Behavior},
author = {Anatoly N. Kochubei and Yuri Kondratiev and José L. da Silva},
journal= {arXiv preprint arXiv:1901.10015},
year = {2020}
}
Comments
28 pages