On the logarithmic correction of transition fronts in shifting environments
Analysis of PDEs
2025-09-16 v1
Abstract
In this paper, we investigate the location of the spreading front and convergence to traveling wave profile of solutions to the Fisher-KPP equation in the following two cases: (i) in unbounded domains with an expanding boundary; (ii) on the real line where the environment function has a shifting jump discontinuity. Our approach is based on extending ideas in Bramson's seminal work in 1983, and applying gluing technique to construct super/subsolutions.
Keywords
Cite
@article{arxiv.2509.11521,
title = {On the logarithmic correction of transition fronts in shifting environments},
author = {King-Yeung Lam and Chang-Hong Wu},
journal= {arXiv preprint arXiv:2509.11521},
year = {2025}
}