Global well-posedness for generalized parabolic Anderson model on the whole plane

Hao Shen, Rongchan Zhu, Xiangchan Zhu

For every \(0<κ<\sqrt{5}-2\), we prove global existence for the two-dimensional generalized parabolic Anderson model on the whole plane ${\mathbb{R}}^2$ with nonlinearity $F\in C_b^2(…