Invariant Gibbs Measure for 3D NLW in Infinite Volume

Samantha Xu

Consider the radial nonlinear wave equation $-{\partial }_t^{2}u+\Delta u=u^3$, $u:{\mathbb{R}}_t\times {\mathbb{R}}_x^3\to \mathbb{R}$, $u(t,x)=u(t,|x|)$. In this paper, we construct a…