11 citations · 26 across the 6 of their papers we have counts for
7 papers
Remark on upper bound for lifespan of solutions to semilinear evolution equations in a two-dimensional exterior domain
Masahiro Ikeda, Motohiro Sobajima
In this paper we consider the initial-boundary value problem for the heat, damped wave, complex-Ginzburg-Landau and Schr"odinger equations with the power type nonlinearity …
Life-span of solutions to semilinear wave equation with time-dependent critical damping for specially localized initial data
Masahiro Ikeda, Motohiro Sobajima
This paper is concerned with the blowup phenomena for initial value problem of semilinear wave equation with critical time-dependent damping term (DW). The result is the sharp uppe…
Life-span of blowup solutions to semilinear wave equation with space-dependent critical damping
Masahiro Ikeda, Motohiro Sobajima
This paper is concerned with the blowup phenomena for initial value problem of semilinear wave equation with critical space-dependent damping term (DW:). The main result of the…
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…
The sharp estimate of the lifespan for the semilinear wave equation with time-dependent damping
Masahiro Ikeda, Takahisa Inui
We consider the following semilinear wave equation with time-dependent damping. \begin{align} \tag{NLDW} \left\{ \begin{array}{ll} \partial_t^2 u - Δu + b(t)\partial_t u = |u|^{p},…
Global Dynamics below the standing waves for the focusing semilinear Schrödinger equation with a repulsive Dirac delta potential
Masahiro Ikeda, Takahisa Inui
We consider the focusing mass supercritical semilinear Schrödinger equation with a repulsive Dirac delta potential on the real line (deltaNLS). Our aim in the present paper is to f…