Takahisa Inui

activity

20162026

most citedA sufficient condition for global existence of solutions to a generalized derivative nonlinear Schrödinger equation

35 citations · 161 across the 28 of their papers we have counts for

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Showing 2017Show all

2 papers · 1 filter

math.AP2017★ 32 cited

$L^{p}$ - $L^{q}$ 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 $L^{p}$ - $L^{q}$ estimates of the solution fo…

math.AP2017★ 11 cited

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},…

Lp-Lq estimates for the damped wave equation and the critical exponent for the nonlinear problem with slowly decaying data

The sharp estimate of the lifespan for the semilinear wave equation with time-dependent damping

$L^{p}$ - $L^{q}$ estimates for the damped wave equation and the critical exponent for the nonlinear problem with slowly decaying data