One-sided FKPP travelling waves in the context of homogeneous fragmentation processes
Probability
2014-09-10 v2
Abstract
In this paper we introduce the one-sided FKPP equation in the context of homogeneous fragmentation processes. The main result of the present paper is concerned with the existence and uniqueness of one-sided FKPP travelling waves in this setting. Moreover, we prove some analytic properties of such travelling waves. Our techniques make use of fragmentation processes with killing, an associated product martingale as well as various properties of L\'evy processes.
Keywords
Cite
@article{arxiv.1204.0758,
title = {One-sided FKPP travelling waves in the context of homogeneous fragmentation processes},
author = {Robert Knobloch},
journal= {arXiv preprint arXiv:1204.0758},
year = {2014}
}