Critical regularity and dissipativity for stochastic reaction-diffusion equations in Bochner spaces over spaces of continuous functions

Xuewei Ju, Xiaoting Tong

In this paper, we consider the stochastic reaction-diffusion equation $\mathrm{d}u=(\mathcal{A}u+f(u))\mathrm{d}t+\sigma (u)\mathrm{d}W$ on a smooth bounded domain $\mathcal{O}$ w…