One-sided FKPP travelling waves in the context of homogeneous fragmentation processes

Robert Knobloch

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arXiv · 1204.0758

One-sided FKPP travelling waves in the context of homogeneous fragmentation processes

Robert Knobloch

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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.

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Robert Knobloch. 2012-04-03. One-sided FKPP travelling waves in the context of homogeneous fragmentation processes. https://arxiv.org/abs/1204.0758

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