Uniqueness of fast travelling fronts in reaction-diffusion equations with delay
Analysis of PDEs
2008-04-03 v1 Classical Analysis and ODEs
Abstract
We consider positive travelling fronts of the time-delayed reaction-diffusion equation with the monostable birth function. Our main result says that for every fixed and sufficiently large velocity c, the positive travelling front is unique (modulo translations). To prove the uniqueness, we introduce a small parameter 1/c and realize the Lyapunov-Schmidt reduction in a scale of Banach spaces.
Cite
@article{arxiv.0804.0377,
title = {Uniqueness of fast travelling fronts in reaction-diffusion equations with delay},
author = {Maitere Aguerrea and Sergei Trofimchuk and Gabriel Valenzuela},
journal= {arXiv preprint arXiv:0804.0377},
year = {2008}
}
Comments
15 pages