5 citations · 6 across the 7 of their papers we have counts for
14 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…
Blow-up of solutions for discrete semilinear wave equation with the scale-invariant damping
Koji Wada, Kyouhei Wakasa
We consider the blow-up problem for discretized scale-invariant nonlinear dissipative wave equations. It is known that the critical exponents for undiscretized equations (continuou…
On the critical decay for the wave equation with a cubic convolution in 3D
Tomoyuki Tanaka, Kyouhei Wakasa
We consider the wave equation with a cubic convolution in three space dimensions. Here, and stands for the convolution in the space…
Lifespan estimates for -dimensional semilinear wave equations in asymptotically Euclidean exterior domains
Ning-An Lai, Mengyun Liu, Kyouhei Wakasa +1
In this paper we study the initial boundary value problem for two-dimensional semilinear wave equations with small data, in asymptotically Euclidean exterior domains. We prove that…
Critical exponent for the wave equation with a time-dependent scale invariant damping and a cubic convolution
Masahiro Ikeda, Tomoyuki Tanaka, Kyouhei Wakasa
In the present paper, we study the Cauchy problem for the wave equation with a time-dependent scale invariant damping and a cubic convolution $(|x|^{-γ}…
Small data blow-up for the wave equation with a time-dependent scale invariant damping and a cubic convolution for slowly decaying initial data
Masahiro Ikeda, Tomoyuki Tanaka, Kyouhei Wakasa
In the present paper, we study the Cauchy problem for the wave equation with a time-dependent scale invariant damping, i.e. and a cubic convolution $(|x|…