2 papers
math.AP2019
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
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…