A simple approach to the wave uniqueness problem
Classical Analysis and ODEs
2019-02-27 v1 Analysis of PDEs
Abstract
We propose a new approach for proving uniqueness of semi-wavefronts in generally non-monotone monostable reaction-diffusion equations with distributed delay. This allows to solve an open problem concerning the uniqueness of non-monotone (hence, slowly oscillating) semi-wavefronts to the KPP-Fisher equation with delay. Similarly, a broad family of the Mackey-Glass type diffusive equations is shown to possess a unique (up to translation) semi-wavefront for each admissible speed.
Cite
@article{arxiv.1808.04857,
title = {A simple approach to the wave uniqueness problem},
author = {Abraham Solar and Sergei Trofimchuk},
journal= {arXiv preprint arXiv:1808.04857},
year = {2019}
}
Comments
12 pages, submitted