2 problems

Finite-time convergence conjecture. Then $u(t,\cdot)$ converges to $u_\phi$ in finite time.

Let $\mathcal{E}$ be the infinite prolongation of a $\textup{(1+1)}$-dimensional evolution equation. For $p\in\mathbb{Z}_{\ge 0}$ and $a\in\mathcal{E}$, let…