22 citations · 31 across the 6 of their papers we have counts for
6 papers
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…
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.…
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…
On Glassey's conjecture for semilinear wave equations in Friedmann-Lemaître-Robertson-Walker spacetime
Kimitoshi Tsutaya, Yuta Wakasugi
Consider nonlinear wave equations in the spatially flat Friedmann-Lemaître-Robertson-Walker (FLRW) spacetimes. We show blow-up in finite time of solutions and upper bounds of the l…
Blow up of solutions of semilinear wave equations in accelerated expanding Friedmann-Lemaître-Robertson-Walker spacetime
Kimitoshi Tsutaya, Yuta Wakasugi
Consider a nonlinear wave equation for a massless scalar field with self-interaction in the spatially flat Friedmann-Lemaître-Robertson-Walker spacetimes. For the case of accelerat…
On heatlike lifespan of solutions of semilinear wave equations in Friedmann-Lemaître-Robertson-Walker spacetime
Kimitoshi Tsutaya, Yuta Wakasugi
Consider a nonlinear wave equation for a massless scalar field with self-interaction in the spatially flat Friedmann-Lemaître-Robertson-Walker spacetimes. We treat the so-called he…