Uniform large deviation principles of fractional stochastic reaction-diffusion equations on unbounded domains

This paper is concerned with uniform large deviation principles of fractional stochastic reaction-diffusion equations driven by additive noise defined on unbounded domains where the solution operator non-compact and hence result [32] does not apply. The nonlinear drift assumed to be locally Lipschitz continnous instead being globally continuous. We first prove a principle for linear equation weak convergence method, then show contraction principle, despite Sobolev embeddings are in domains. regrading deviations can applied investigate exit time place solutions from given domain phase space.