Finite Time Blowup of Solutions to SPDEs with Bernstein Functions of the Laplacian

Chan-Song Deng, Wei Liu, Erkan Nane

The blowup in finite time of solutions to SPDEs \begin{equation*} \partial_tu_t(x)=-ϕ(-Δ)u_t(x) +σ(u_t(x))\dotξ(t,x), \quad t>0,x\in\mathbb{R}^d, \end{equation*} { is} investigated…