We study the Freidlin–Wentzell large deviation principle for nonlinear one-dimensional stochastic heat equation driven by a Gaussian noise: $$\begin{aligned} \frac{\partial u^{{\varepsilon }}(t,x)}{\partial t}=\frac{\partial ^2 x^2}+\sqrt{{\varepsilon }}\sigma (t, x, }}(t,x))\dot{W}(t,x),\quad t> 0,\, x\in \mathbb {R}, \end{aligned}$$ where $$\dot{W}$$ is white in time and fractional space with...
