21 citations · 32 across the 6 of their papers we have counts for
6 papers
A revisit via slicing method on a quadratic semilinear wave equation in two space dimensions
Masakazu Kato, Hiroyuki Takamura, Kyouhei Wakasa
In this paper, we are focusing on the proof of the blow-up result for a quadratic semilinear wave equation in two space dimensions. There is a logarithmic loss in estimating the li…
Critical exponent for nonlinear wave equations with damping and potential terms
Masakazu Kato, Hideo Kubo
The aim of this paper is to determine the critical exponent for the nonlinear wave equations with damping and potential terms of the scale invariant order, by assuming that these t…
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…
The lifespan of solutions of semilinear wave equations with the scale-invariant damping in one space dimension
Masakazu Kato, Hiroyuki Takamura, Kyouhei Wakasa
The critical constant of time-decaying damping in the scale-invariant case is recently conjectured. It also has been expected that the lifespan estimate is the same as for the asso…
Global existence and blow-up for semilinear damped wave equations in three space dimensions
Masakazu Kato, Miku Sakuraba
We consider initial value problem for semilinear damped wave equations in three space dimensions. We show the small data global existence for the problem without the spherically sy…
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…