On weak convergence of stochastic wave equation with colored noise on $\mathbb{R}$

Wenxuan Tao

In this paper, we study the following stochastic wave equation on the real line ${\partial }_t^2{u}_{\alpha }={\partial }_x^2{u}_{\alpha }+b\left(u_{\alpha }\right)+\sigma \left(u_{\alpha }\right){\eta }_{\alpha }$. The noise ${\eta }_{\alpha }$ is white…