Uniform large deviations for a class of stochastic reaction-diffusion equations on the real line with super-linear drifts driven by multiplicative space-time white noise

We prove a Freidlin-Wentzell uniform large deviation principle for the law of solutions to a class of stochastic reaction-diffusion equations with super-linear drifts without dissipation on the real line R, driven by multiplicative space-time white noise.The uniformity is with respect to initial conditions that are bounded and do not necessarily belong to compact sets.We employ the weak convergence method.