4 problems

Let $U\subset\mathbb{R}^d$ be a bounded domain satisfying the hypotheses of either Theorem or Theorem, and let $u(t,x)$ be the corresponding solution to the stochastic heat equatio…

Let $\psi$ satisfy the growth bounds in \, and let $H(x,v)$ be the function in inequality \. The mesh satisfies $0=t_0\leq t_1\leq\cdots$ with $\delta_k=t_k-t_{k-1}<\delta_0$,…

Consider sufficiently spread-out oriented percolation in dimension $d>4$, with spread parameter $L$ sufficiently large, and let $\mathcal {T}_n$ denote the set of vertices connecte…

Consider the hybrid linear system with jumps … where $W_t$ is a Wiener process, $N_t$ is a counting process, and $L_t$ satisfies a moment condition of order $Q$. Moment-boundedness…