$L^2$-solutions to stochastic reaction-diffusion equations with superlinear drifts driven by space-time white noise^

Shijie Shang, Pengyu Wang, Tusheng Zhang

Consider the following stochastic reaction-diffusion equation with logarithmic superlinear coefficient b, driven by space-time white noise W: $$ u_t(t,x) = (1/2)u_{xx}(t,x) + b(u(t…