9 citations · 38 across the 17 of their papers we have counts for
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Revisit on the blow-up rate of solutions for a weakly coupled system of semilinear heat equations in the subcritical case
Kazumasa Fujiwara, Masahiro Ikeda, Yuta Wakasugi
We introduce a straightforward method to analyze the blow-up of systems of ordinary differential inequalities, and apply it to study the blow- up of solutions to a weakly coupled s…
- estimates for the damped wave equation and the critical exponent for the nonlinear problem with slowly decaying data
Masahiro Ikeda, Takahisa Inui, Mamoru Okamoto +1
We study the Cauchy problem of the damped wave equation \begin{align*} \partial_{t}^2 u - Δu + \partial_t u = 0 \end{align*} and give sharp - estimates of the solution fo…
Finite energy of generalized suitable weak solutions to the Navier-Stokes equations and Liouville-type theorems in two dimensional domains
Hideo Kozono, Yutaka Terasawa, Yuta Wakasugi
Introducing a new notion of generalized suitable weak solutions, we first prove validity of the energy inequality for such a class of weak solutions to the Navier-Stokes equations…
A remark on the critical exponent for the semilinear damped wave equation on the half-space
Yuta Wakasugi
In this short notice, we prove the non-existence of global solutions to the semilinear damped wave equation on the half-space, and we determine the critical exponent for any space…
Global well-posedness for the semilinear wave equation with time dependent damping in the overdamping case
Masahiro Ikeda, Yuta Wakasugi
We study global existence of solutions to the Cauchy problem for the wave equation with time-dependent damping and a power nonlinearity in the overdamping case. We prove the global…
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…