9 citations · 38 across the 17 of their papers we have counts for
Showing 2018 · math.APShow all
2 papers · 2 filters
math.AP2018
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…
math.AP2018
Sharp lifespan estimates of blowup solutions to semilinear wave equations with time-dependent effective damping
Masahiro Ikeda, Motohiro Sobajima, Yuta Wakasugi
We consider the initial value problem for the semilinear wave equation with time-dependent effective damping. The interest is the behavior of lifespan of solutions in view of the a…