A large deviation principle for reflected SPDEs on infinite spatial domain

STOCHASTICS AND DYNAMICS（2023）

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Abstract

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.

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Key words

Stochastic partial differential equations,reflection,large deviation principle,weak convergence approach

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