21 citations · 23 across the 2 of their papers we have counts for
2 papers
math.AP2019★ 21 cited
The lifespan of solutions of semilinear wave equations with the scale-invariant damping in two space dimensions
Takuto Imai, Masakazu Kato, Hiroyuki Takamura +1
In this paper, we study the initial value problem for semilinear wave equations with the time-dependent and scale-invariant damping in two dimensions. Similarly to the one dimensio…
math.AP2016★ 2 cited
The sharp lower bound of the lifespan of solutions to semilinear wave equations with low powers in two space dimensions
Takuto Imai, Masakazu Kato, Hiroyuki Takamura +1
This paper is devoted to a proof of the conjecture in Takamura(2015) on the lower bound of the lifespan of solutions to semilinear wave equations in two space dimensions. The resul…