22 citations · 31 across the 6 of their papers we have counts for
4 papers · 2 filters
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…