3 problems

Bistability conjecture. There exist initial data $[u_0(x),v_0(x)]$ such that the corresponding solution $(u,v)$ converges uniformly to $(u^*,v^*)$ as $t\to\infty$, while for some o…

Let $\psi$ be a selection function such that $\psi(x)\geq\delta$ for all $x\in[0,1]$ and $\psi(x)=\delta$ for all $x\in[1-p,1]$ for some $p\in(0,1)$. Asymptotic-velocity conjecture…

Let $u_\omega$ be the solution from Definition, under the hypotheses of Theorem (i) but without its limitation on the dimension $d$, and let $L_{u_\omega,\eta}(t)$ denote the trans…