52 citations · 416 across the 46 of their papers we have counts for
5 papers · 2 filters
Remarks on an elliptic problem arising in weighted energy estimates for wave equations with space-dependent damping term in an exterior domain
Motohiro Sobajima, Yuta Wakasugi
This paper is concerned with weighted energy estimates and diffusion phenomena for the initial-boundary problem of the wave equation with space-dependent damping term in an exterio…
Estimates of lifespan and blow-up rates for the wave equation with a time-dependent damping and a power-type nonlinearity
Kazumasa Fujiwara, Masahiro Ikeda, Yuta Wakasugi
We study blow-up behavior of solutions for the Cauchy problem of the semilinear wave equation with time-dependent damping. When the damping is effective, and the nonlinearity is su…
The Cauchy problem for the nonlinear damped wave equation with slowly decaying data
Masahiro Ikeda, Takahisa Inui, Yuta Wakasugi
We study the Cauchy problem for the nonlinear damped wave equation and establish the large data local well-posedness and small data global well-posedness with slowly decaying initi…
Movement of time-delayed hot spots in Euclidean space
Shigehiro Sakata, Yuta Wakasugi
We investigate the shape of the solution of the Cauchy problem for the damped wave equation. In particular, we study the existence, location and number of spatial maximizers of the…
Diffusion phenomena for the wave equation with space-dependent damping in an exterior domain
Motohiro Sobajima, Yuta Wakasugi
In this paper, we consider the asymptotic behavior of solutions to the wave equation with space-dependent damping in an exterior domain. We prove that when the damping is effective…