We study the two-dimensional wave equation with cubic nonlinearity posed on with space-time white noise forcing. After a suitable renormalisation of the nonlinearity, we prove global well-posedness for this equation for initial data in , .
"Global well posedness of the two-dimensional stochastic nonlinear wave equation on an unbounded domain." Ann. Probab. 49 (3) 1402 - 1426, May 2021. https://doi.org/10.1214/20-AOP1484