Global solution for superlinear stochastic heat equation on ${\mathbb{R}}^d$ under Osgood-type conditions

Le Chen, Mohammud Foondun, Jingyu Huang +1

We study the \textit{stochastic heat equation} (SHE) on ${\mathbb{R}}^d$ subject to a centered Gaussian noise that is white in time and colored in space.The drift term is assumed to satisfy…