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On the two-dimensional singular stochastic viscous nonlinear wave equations

On the two-dimensional singular stochastic viscous nonlinear wave equations

We study the stochastic viscous nonlinear wave equations (SvNLW) on 𝕋 2 , forced by a fractional derivative of the space-time white noise ξ. In particular, we consider SvNLW with the singular additive forcing D 1 2 ξ such that solutions are expected to be merely distributions. By introducing an …