4 problems

Let $w_j(t)$ denote the function in the lattice Fisher–KPP analysis, with $j\in\mathbb{Z}$ and wave speed $c_*$. The conjecture concerns the region ahead of the front where…

Let $G$ be the function whose maximizer determines the positive constants $\overline{\mu}_{l}$ and $\overline{\mu}_{r}$ appearing in the asymptotic bounds for…

Consider the heterogeneous Fisher–KPP type equation referred to as … . Large-time monotonicity conjecture. One has … for all sufficiently large $t$. This remains an open question;…

Attractivity conjecture. In this case, the critical travelling wave is attractive for Heaviside-type initial data.