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arXiv · 2509.11521

On the logarithmic correction of transition fronts in shifting environments

King-Yeung Lam·Chang-Hong Wu
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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.

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King-Yeung Lam, Chang-Hong Wu. 2025-09-15. On the logarithmic correction of transition fronts in shifting environments. https://arxiv.org/abs/2509.11521

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