2 problems

Bessel SPDE extension conjecture. The natural extension of the SPDEs for $\delta>3$ and $\delta=3$ to the region $\delta<3$ should be given by the corresponding SPDEs for…

Let $\mathbb{B}$ be the unit ball in $\mathbb{R}^d$, with $d\geq 1$, let $p^D_{\mathbb{B}}(t,x,y)$ be the Dirichlet heat kernel, and let $\varphi_1(x)$ be the ground-state eigenfun…