Critical exponent for the semilinear wave equations with a damping increasing in the far field

Kenji Nishihara, Motohiro Sobajima, Yuta Wakasugi

We consider the Cauchy problem of the semilinear wave equation with a damping term \begin{align*} u_{tt} - Δu + c(t,x) u_t = |u|^p, \quad (t,x)\in (0,\infty)\times \mathbb{R}^N,\qu…