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math.AP2018
Global existence of solutions to semilinear damped wave equation with slowly decaying inital data in exterior domain
Motohiro Sobajima
In this paper, we discuss the global existence of weak solutions to the semilinear damped wave equation \begin{equation*} \begin{cases} \partial_t^2u-Δu + \partial_tu = f(u) & \tex…
math.AP2018
Finite time blowup of solutions to semilinear wave equation in an exterior domain
Motohiro Sobajima, Kyouhei Wakasa
We consider the initial-boundary value problem of semilinear wave equation with nonlinearity in exterior domain in . Especially, the lifespan of b…
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…