M. Ikeda

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math.AP2025

Critical curve for the weakly coupled system of damped wave equations with mixed nonlinearities

Dinh Van Duong, Tuan Anh Dao, Masahiro Ikeda

In this paper, we would like to consider the Cauchy problem for a weakly coupled system of semi-linear damped wave equations with mixed nonlinear terms. Our main objective is to dr…

math.AP2025

Asymptotically self-similar global solutions for Hardy-Hénon parabolic equations

Noboru Chikami, Masahiro Ikeda, Koichi Taniguchi +1

We construct asymptotically self-similar global solutions to the Hardy-Hénon parabolic equation $\partial_{t} u - Δ u = \pm ∣ x ∣^{γ} ∣ u ∣^{α - 1} u$ , $α > 1$ , $γ \in R$ for a large cl…

math.AP2024

Optimal $L^{2}$ -blowup estimates of the Fractional Wave Equation

Masahiro Ikeda, Jinhong Zhao

This article deals with the behavior in time of the solution to the Cauchy problem for a fractional wave equation with a weighted $L^{1}$ initial data. Initially, we establish the gl…

Critical curve for the weakly coupled system of damped wave equations with mixed nonlinearities

Asymptotically self-similar global solutions for Hardy-Hénon parabolic equations

Optimal L2-blowup estimates of the Fractional Wave Equation

Optimal $L^{2}$ -blowup estimates of the Fractional Wave Equation