A large deviation principle for reflected SPDEs on infinite spatial domain

In this paper, we study a large deviation principle for a reflected stochastic partial differential equation on infinite spatial domain. A new sufficient condition for the weak convergence criterion proposed by Matoussi, Sabbagh and Zhang [A. Matoussi, W. Sabbagh and T.-S. Zhang, Large deviation principles of obstacle problems for quasilinear stochastic PDEs, Appl. Math. Optim. 83(2) (2021) 849-879] plays an important role in the proof.

Automated summary

In this paper, a large deviation principle for a reflected stochastic partial differential equation on infinite spatial domain is studied. A new sufficient condition proposed by Matoussi, Sabbagh, and Zhang plays a crucial role in the proof.