Hiroyuki Hirayama

activity

20242026

collaborators

3 papers

math.RA2026

Injective Rota-Baxter operators of weight 1 on $F [x]$

Vsevolod Gubarev

We describe all injective Rota-Baxter operators $R$ of weight 1 on the polynomial algebra $F [x]$ . When $char F = p > 0$ , the only one is $R = - id$ . When $\mathrm{cha…

math.AP2025

Well-posedness and ill-posedness for a system of periodic quadratic derivative nonlinear SchrÃ¶dinger equations

Hiroyuki Hirayama, Shinya Kinoshita, Mamoru Okamoto

We consider the Cauchy problem of a system of quadratic derivative nonlinear SchrÃ¶dinger equations which was introduced by M. Colin and T. Colin (2004) as a model of laser-plasma…

math.AP2024

Well-posedness for a system of quadratic derivative nonlinear SchrÃ¶dinger equations with low regularity periodic initial data

Hiroyuki Hirayama

We consider the Cauchy problem of a system of quadratic derivative nonlinear SchrÃ¶dinger equations which was introduced by M. Colin and T. Colin (2004) as a model of laser-plasma…

Injective Rota-Baxter operators of weight 1 on F[x]

Well-posedness and ill-posedness for a system of periodic quadratic derivative nonlinear SchrÃ¶dinger equations

Well-posedness for a system of quadratic derivative nonlinear SchrÃ¶dinger equations with low regularity periodic initial data

Injective Rota-Baxter operators of weight 1 on $F [x]$