2 citations · 4 across the 3 of their papers we have counts for
6 papers
The Cauchy problem of the semilinear second order evolution equation with fractional Laplacian and damping
Kazumasa Fujiwara, Masahiro Ikeda, Yuta Wakasugi
In the present paper, we prove time decay estimates of solutions in weighted Sobolev spaces to the second order evolution equation with fractional Laplacian and damping for data in…
Asymptotic properties of steady and nonsteady solutions to the 2D Navier-Stokes equations with finite generalized Dirichlet integral
Hideo Kozono, Yutaka Terasawa, Yuta Wakasugi
We consider the stationary and non-stationary Navier-Stokes equations in the whole plane and in the exterior domain outside of the large circle. The solution is…
Endpoint Strichartz estimate for the damped wave equation and its application
Takahisa Inui, Yuta Wakasugi
Recently, the Strichartz estimates for the damped wave equation was obtained by the first author except for the wave endpoint case. In the present paper, we give the Strichartz est…
Critical exponent for the semilinear wave equations with a damping increasing in the far field
Kenji Nishihara, Motohiro Sobajima, Yuta Wakasugi
We consider the Cauchy problem of the semilinear wave equation with a damping term \begin{align*} u_{tt} - Δu + c(t,x) u_t = |u|^p, \quad (t,x)\in (0,\infty)\times \mathbb{R}^N,\qu…
Blow-up of solutions for weakly coupled systems of complex Ginzburg-Landau equations
Kazumasa Fujiwara, Masahiro Ikeda, Yuta Wakasugi
Blow-up phenomena ofvweakly coupled systems of several evolution equations, especially complex Ginzburg-Landau equationsvis shown by a straightforward ODE approach not so-called te…
Movement of time-delayed hot spots in Euclidean space for special initial states
Shigehiro Sakata, Yuta Wakasugi
We consider the Cauchy problem for the damped wave equation under the initial state that the sum of an initial position and an initial velocity vanishes. When the initial position…