4 problems

Sharp-edge diffusion-field conjecture. These equations might have a broader domain of validity if $D(x,y)$ and $\widetilde{\mathbf{D}}(x,y)$ are augmented by diffusion fields induc…

Let $h>0$, let $S_N(t)$ be the semigroup in the paper, and let $u_0$ satisfy the conditions of Theorem. Let $N_0$ be the threshold appearing there. Boundary-layer decay conjecture.…

Let $u_0\in C^3([0,1])$ satisfy $u_0”'(0)=u_0”'(1)$ and the conditions of Theorem. Let $S_N(t)$ be the semigroup in the paper, and let $N_0$ be the threshold appearing there. Bound…

Let $h>0$, let $S_N(t)$ be the semigroup in the paper, and let $u_0$ satisfy the conditions of Theorem. Write $N_0$ for the threshold appearing there. Boundary strict-maximum conje…