Takamori Kato

activity

20102025

most citedGlobal well-posedness for the Kawahara equation with low regularity data

1 citations · 3 across the 7 of their papers we have counts for

collaborators

Showing math.APShow all

7 papers · 1 filter

math.AP2025

Well- and Ill-posedness of the Cauchy problem for derivative fractional nonlinear Schrödinger equations on the torus

Takamori Kato, Toshiki Kondo, Mamoru Okamoto

We consider the Cauchy problem for derivative fractional Schrödinger equations (fNLS) on the torus $T$ . Recently, the second and third authors established a necessary and s…

math.AP2025

Unconditional well-posendness for the fourth order nonlinear Schrodinger type equations on the torus

Takamori Kato

We prove the unconditional well-posedness for the fourth order nonlinear Schrodinger type equations in H^s(\mathbb{T}) when s \geq 1, which includes the non-integrable case. This r…

math.AP2025

Cancellation properties and unconditional well-posedness for fifth order modified KdV type equations with periodic boundary conditions

Takamori Kato, Kotaro Tsugawa

We prove the unconditional well-posedness result for fifth order modified KdV type equations in $H^{s} (T)$ when $s \geq 3/2$ , which includes non-integrable cases. By the con…

math.AP2023★ 1 cited

Cancellation properties and unconditional well-posedness for the fifth order KdV type equations with periodic boundary condition

Takamori Kato, Kotaro Tsugawa

We consider the fifth order KdV type equations and prove the unconditional well-posedness in $H^{s} (T)$ for $s \geq 1$ . It is optimal in the sense that the nonlinear terms ca…

math.AP2012

Low regularity data for the periodic Kawahara equation

Takamori Kato

In this paper, we consider the well-posedness for the Cauchy problem of the Kawahara equation with low regularity data in the periodic case. We obtain the local well-posedness for…

math.AP2012★ 1 cited

Global well-posedness for the Kawahara equation with low regularity data

Takamori Kato

We consider the global well-posedness for the Cauchy probelem of the Kawahara equation which is one of the fifth order KdV type equations. We first establish the local well-posedne…

math.AP2010★ 1 cited

Well-posedness for the fifth order KdV equation

Takamori Kato

In this paper, we establish the well-posedness for the Cauchy problem of the fifth order KdV equation with low regularity data. The nonlinear term has more derivatives than can be…