6 citations · 6 across the 3 of their papers we have counts for
3 papers
math.AP2025
Existence of solutions of semilinear wave equations with time-dependent propagation speed and time derivative nonlinearity
Kimitoshi Tsutaya, Yuta Wakasugi
Consider wave equations with time derivative nonlinearity and time-dependent propagation speed which are generalized versions of the wave equations in the Friedmann-Lemaître-Robert…
math.AP2024
Appearance of Strauss-type exponent in semilinear wave equations with time-dependent speed of propagation
Motohiro Sobajima, Kimitoshi Tsutaya, Yuta Wakasugi
In this paper, blowup phenomenon for the semilinear wave equation with time-dependent speed of propagation and scattering damping is considered under the smallness of initial data.…
math.AP2021★ 6 cited
Blow up of solutions of semilinear wave equations related to nonlinear waves in de Sitter spacetime
Kimitoshi Tsutaya, Yuta Wakasugi
Consider a nonlinear wave equation for a massless scalar field with self-interaction in the spatially flat de Sitter spacetime. We show that blow-up in a finite time occurs for the…